ޤ륱
Ĥ뤫Ǿʬޤ

ġսˣΤǣΣ᣶̤
ġξ꤬̤ꡢĤˣʤΤǡߣΣᣱ̤
ġξϣߣࣲ顢٤礦Σ̤ƣ̤ꡢĤˣʤΤǡߣΣᣱ̤
ġξ񤭽Фȣ̤ꡢĤˣʤΤǡߣΣᣳ̤

ף̤
125ڡ 0:07:51 MAIL:take4310@mobile.email.ne.jp HomePage:ޤ륱29200
ޤ륱
Ȥǡ㤬ʤΤʤ
125ڡ 0:09:41 MAIL:take4310@mobile.email.ne.jp HomePage:ޤ륱29201
ӣˣ
3ȤʤƤ褤ΤݤǤĤ¤ΤǤ˷ޤ꤬äƤ¸Τ餷顢Ƥ
125ڡ 0:12:07 29202
ߤ
#29200ʤޤ륱󤵤
ޤäƱǤȤξ礬̤ȤƤޤäΤ
԰Ǥ줵ʤУʬƤϤʤɡġ
ˤƤ̣̾®ȤäġäɤäƲ򤤤ƤǤ
125ڡ 0:12:29 29203
ܰϤɤ
ǽ飶夬ְ㤤Ȼפ
ѤäȸǣǷ׻9136̤ꡡäƤޤޤ

褯飱ʤǤ͡
125ڡ 0:12:37 29204
tomh
"Q36: ФϢԤʤɽ"γĥ
äȤǤ礦
ԡ 125ڡ 0:12:59 MAIL:tomh@yahoo.co.jp HomePage:H to M29205
ߤ
#29202
֣Ϣ³ƤϤʤʤפϡ֣ȤʤФʤʤפȤɤ߼ޤ
ֻȤʤФʤʤפΤʤʸˡ־ʤȤ⣱ĤϻȤפȤä
郎ĤϤǤ
125ڡ 0:15:12 29206
maverick
ƤοȤʤƤϤʤʤȤäƤޤޤ
Tokyo 125ڡ 0:16:22 MAIL:tmr6664@gmail.com HomePage:main page29207
ޤ륱
⤷ơǽϣǽФȤƤΤʡ
ȡ̤ꡩ
125ڡ 0:17:12 MAIL:take4310@mobile.email.ne.jp HomePage:ޤ륱29208
Shin Koba
ߤ󤵤󡣤꤬Ȥޤ
125ڡ 0:17:14 29209
ޥ
ߤޤ󡢺ǽ飱ˤƤơ׻Ƥߤο礭ΤǣѹΤǤΤۤѹ˺Ƥޤm(__)m
PowerBook 125ڡ 0:17:37 MAIL:masaru-y@sansu.org HomePage:29210
ޥ
βˡꤷƤޤ..
PowerBook 125ڡ 0:18:20 MAIL:masaru-y@sansu.org HomePage:29211
Taro
n1,2,3Τμa(n),b(n),c(n)Ȥơ
1夺դäƤ褦ͤޤ
a(1)=b(1)=c(1)=1


a(n+1)=b(n+1)=a(n)+b(n)+c(n)
c(n+1)=a(n)+b(n)

ȤϤҤŻǤǸa(6)+b(6)+c(6)=448Ȥޤ
⤦¿Excelä(^^;
125ڡ 0:19:24 29212
CRYING DOLPHIN

ȡʴ
ȣΤϣΤɤǤϣˡΤϣΤߡ
*1*2*3*4*5*6
-----------------------------------
ΰ̣ *1*3*82260164
ΰ̣ *1*3*82260164
ΰ̣ *1*2*61644120

äݤ򤤤ɡդġ˾ʬƷ׻
®Τʡ
125ڡ 0:24:13 HomePage:ȤƻȤ29213
ȥȥ
٤줿Dz򤭤ޤ
Ϣ³ǣǤϾäꡣ
Ǥ⡢ޤϣʤΤǤ䤹ߤʤ
ʼ˸лԡ 125ڡ 0:21:42 29214
ȥȥ
䤬񤤤Ƥ֤ˣãĤ󤬡βϤޤˤ̤Ǥ
ʼ˸лԡ 125ڡ 0:23:09 29215
ˤ
ǯرƱˡǤ͡
1 2 3 4 5 6
ü11382260164
ü21382260164
ü31261644120
ǡ164+164+120=448ƤȤǤ
125ڡ 0:24:02 29216
ޤ륱
ʬβǤǤ

ȣȤäƣοϣ̤Ǥޤ
Ʊͤˣϣ̤ǡξüޤ᤿սΤɤˣΤǣߣã
ϣߣã
ϣߣã
äƤäְ㤤ʤǤ͡
125ڡ 0:24:44 MAIL:take4310@mobile.email.ne.jp HomePage:ޤ륱29217

ޡ֤äƤޤޤС
125ڡ 0:24:59 29218
ʸ
ä
n-1ܤǸ1,2
n-2ܤǸ31,32

X(n)=2X(n-1)+2X(n-2)
硹ƤäƵޤ
nμϺФޤ...

򽬤äƤޤ
줳Ȱ露Ȼ״ְ㤤򤷤
θn=6֤Ǥޤ

ʤߤˤȤ
a,b,c򺸤n¤٤롣a,bμɬc
ȤΤǤ
125ڡ 0:26:44 MAIL:kyorofumi@msn.com 29219
Ȥ
basicǰʲǤ

for a=1 to 3
for b=1 to 3
if 6=a+b then goto 50
FOR c=1 TO 3
if 6=b+c then goto 40
for d=1 to 3
if 6=c+d then goto 30
for e=1 to 3
if 6=d+e then goto 20
for f=1 to 3
if 6=e+f then goto 10
print a;b;c;d;e;f
10 NEXT f
20 NEXT e
30 NEXT d
40 NEXT c
50 NEXT b
60 NEXT a
END
˭ԡ 125ڡ 0:27:57 MAIL:fttnm528@ybb.ne.jp 29220
DrK
äޤ׻ְ㤤ʤɤǤƤޤ
Ǥ͡
nФƸĿAnȤȰ̼
A(n)=2{A(n-1)+A(n-2)}
n=1ΤȤϡA(1)=3
n=2ΤȤϡA(2)=2A(1)+2
ǽŪƤеޤ롣
٤Ͼγڱࡡ 125ڡ 0:28:36 MAIL:satoka@star.odn.ne.jp 29221
ˤ
ǯرƱˡǤ͡
1 2 3 4 5 6
ü11382260164
ü21382260164
ü31261644120
ǡ164+164+120=448ƤȤǤ
125ڡ 0:30:41 29222
ʸ
X(n)=2X(n-1)+2X(n-2)
2̤ʬޤ
(I)
X(n)-(1+3)X(n-1)=(1-3){X(n-1)-(1+3)X(n-2)}
X(1)=3,X(2)=8
X(n)-(1+3)X(n-1)=(1-3)^n-2 * (5-33)ĭ

(II)
X(n)-(1-3)X(n-1)=(1+3){X(n-1)-(1-3)X(n-2)}
X(1)=3,X(2)=8
X(n)-(1-3)X(n-1)=(1+3)^n-2 * (5+33)ĭ


X(n)=3/6 * {(1-3)^n-1 * (5-33) - (1+3)^n-1 * (5+33)}

äƤ뤫ʤ

6Τɤʤ()
125ڡ 0:50:44 MAIL:kyorofumi@msn.com HomePage:ʸ29223
maverick
ǤΤCȤޤȥȤƤΤƤοȤäƤ뤫ΥåǤʤȤʤᤤΤ

#include <stdio.h>

int v[6];
int s = 0;

main(){

int i,j;

for (v[0]=1; v[0]<=3;v[0]++){
for (v[1]=1; v[1]<=3;v[1]++){
for (v[2]=1; v[2]<=3;v[2]++){
for (v[3]=1; v[3]<=3;v[3]++){
for (v[4]=1; v[4]<=3;v[4]++){
for (v[5]=1; v[5]<=3;v[5]++){
if (v[0] == 3 && v[1] == 3)continue;
if (v[1] == 3 && v[2] == 3)continue;
if (v[2] == 3 && v[3] == 3)continue;
if (v[3] == 3 && v[4] == 3)continue;
if (v[4] == 3 && v[5] == 3)continue;
int f1 =0, f2=0,f3=0;
/*
for (j=0;j<6;j++){
if (v[j]==1)f1=1;
if (v[j]==2)f2=1;
if(v[j]==3)f3=1;
}
if (f1*f2*f3 == 0)continue;
*/
s++;
}
}
}
}
}
}

printf("s=%d\n",s);
return 0;
}

Tokyo 125ڡ 0:53:18 MAIL:tmr6664@gmail.com HomePage:main page29224
⡼ޥ
ͤޤ(^^;
3x3x3 ΤȤ4H1*2^3=4C3*2^3=32
3x3 ΤȤ3H3*2^4=5C2*2^4=160
3 ΤȤ2H5*2^5=6C1*2^5=192
x ΤȤ1H6*2^6=6C0*2^6=64
32+160+192+64=448

äȴñ˽Фʡ(^^;
ߤʤβˡٶƤ餤ޤ(^^)
125ڡ 1:05:12 29225

֣οȤäơפäƤΤ
οΤȴ㤤

ȣäꤹȡ֣οȤäơפ뤳ȤˤʤΤȡ

ޤ򤱤ΤϤäȳڤʷ׻ˡϤʤΤ
125ڡ 1:15:40 29226

ޤ񤤤ƺǸ¤ǤθĿοȻפ
ϡʣˤϡʣˤĭȤΤθ
οΣܤǤϣġġĤĭ
οΣܤǤϭ꣱ġġĤĭ
οΣܤǤϭ꣱ġġĤĭ
οΣܤǤϭ꣱ġġĤĭ
οΣܤǤϭ꣱ġġĤ
äƣܣܣᣴ

125ڡ 1:31:57 29227
ޥ
դ褦䤯ŻꤽǤ...Ǥ..orz

֤٤ƤοȤɤפǤΤʬŤ餤̤⤢ޤĤƤޤm(__)m
PowerBook 125ڡ 1:33:18 MAIL:masaru-y@sansu.org HomePage:29228

οabcdefȤ路abcdefȤǤ櫓ƹͤ롣
abccᣱȤʤΤϡʣݣˡߣᣱġġA
cᣳȤʤΤϣߣ᣶ġġB
defƱͤη׻ˤdᣱȤʤΤϣġġC
dᣳȤʤΤϣġġD
դΤ
ABˡߡCDˡBDᣲߣݣߣᣴ
125ڡ 7:54:47 29229
ϥ饮㡼ƥ
Ϥ褦ޤ

ϥץǤʤƤǤä
ϤץǤ

125ڡ 8:59:01 HomePage:湩ؤĩ29230
ݤ
ݤ
ʣܣˡߣ᣸
ʣܣˡߣᣲ
ʣܣˡߣ᣶
ʣܣˡߣᣱ
ʣܣˡߣᣴǼ͡
äѤ餤ŷ񡡡 125ڡ 11:38:11 MAIL:hopes@mba.ocn.ne.jp HomePage:HOPES褤Ȥ٤Ϥ29231
uchinyan
Ϥˤϡơϡ
ࡤʬäƤޤдñʤΤǤͤǤޤޤ (^^;
dzβˡӤ뤳Ȥ⤢ΤǡդĤۤɤβˡ񤤤Ƥޤ

(ˡ1)
ľܿˡǤǽ˻פդޤλҤɤ⤬˺¤꤬ҥȤˤʤޤ
ޤޤ 3 θĿܤޤ
3 ʤ
12 6 οΤǡ2^6 = 64 ̤ꡣ
3 1 Ĥ
12 5 οꡤξüޤ᤿ 6 սοδ֤ 1 ս 3 򶴤ФΤǡ2^5 * 6C1 = 32 * 6 = 192 ̤ꡣ
3 2 Ĥ
12 4 οꡤξüޤ᤿ 5 սοδ֤ 2 ս 3 򶴤ФΤǡ2^4 * 5C2 = 16 * 10 = 160 ̤ꡣ
3 3 Ĥ
12 3 οꡤξüޤ᤿ 4 սοδ֤ 3 ս 3 򶴤ФΤǡ2^3 * 4C3 = 8 * 4 = 32 ̤ꡣ
3 4 İʾ夢
4 Ĥ 3 δ֤˾ʤȤ 1 Ĥ 1 2 򶴤ޤʤȤʤΤǡ7 ˤʤäƤޤԲǽǤ
ɡʾäơ
64 + 192 + 160 + 32 = 448 ̤

(ˡ2)
ȤˡǤñʡ
СäȰ㤤ޤǯεǻ褦꤬äʤ֤οʬꡤȻפФޤ
n οκǹ̤η塤n ܡο 1 ξ a(n) ̤ꡤ2 ξ b(n) ̤ꡤ3 ξ c(n) ̤ꡤȤޤ
n+1 ܤοɲäơn+1 οޤ
n+1 ο 1 ξ硧n οϲǤ⤤Τ a(n+1) = a(n) + b(n) + c(n)
n+1 ο 2 ξ硧n οϲǤ⤤Τ b(n+1) = a(n) + b(n) + c(n)
n+1 ο 3 ξ硧n ο 1 2 ǤʤȤʤΤ c(n+1) = a(n) + b(n)
餫ˡa(1) = b(1) = c(1) = 1 Ǥ
ơΤϡa(6) + b(6) + c(6) Ǥ
ϡ缡ƤФΤǤΤ褦ɽΤǤ礦
ǹ̷ο1, 3, 8, 22, 60, 164, ... <----- a(n)
ǹ̷ο1, 3, 8, 22, 60, 164, ... <----- b(n)
ǹ̷ο1, 2, 6, 16, 44, 120, ... <----- c(n)
դοξο3, 8,22, 60,164, 448, ... <----- a(n) + b(n) + c(n)
äơ448 ̤ˤʤޤ
ȤƤϡ򤦤ޤդơ嵭ɽФǤ礦

(ˡ3)
ϤꡤȤˡǤ(ˡ2)Ȱۤʤꡤľܤˡդοξο򰷤ޤ
n οξο f(n) Ȥޤȡǹ̤η塤n ܡο˴ؤơ
n ο n ܤο 1 ξ硧n-1 ܤοϲǤ⤤Τǡf(n-1) ̤Ǥ
n ο n ܤο 2 ξ硧n-1 ܤοϲǤ⤤Τǡf(n-1) ̤Ǥ
n ο n ܤο 3 ξ硧n-1 ܤο 1 2 ǤʤȤޤ
ΤȤn-2 ܤοϲǤ⤤Τǡf(n-2) + f(n-2) = 2 * f(n-2) ̤Ǥ
ʾʤΤǡ
f(n) = f(n-1) + f(n-1) + 2 * f(n-2) = 2 * (f(n-1) + f(n-2))
ǤºݤĴ٤ơf(1) = 3f(2) = 3^2 - 1 = 8 Ǥ
(f(2) ϡ33 ФǤ)
ϡf(6) ФΤǡ缡׻ơ
f(3) = 2 * (f(2) + f(1)) = 2 * (8 + 3) = 2 * 11 = 22
f(4) = 2 * (f(3) + f(2)) = 2 * (22 + 8) = 2 * 30 = 60
f(5) = 2 * (f(4) + f(3)) = 2 * (60 + 22) = 2 * 82 = 164
f(6) = 2 * (f(5) + f(4)) = 2 * (164 + 60) = 2 * 224 = 448
äơ448 ̤ˤʤޤ

줫ǼĤɤ⤦Ȼפޤϲ˻ɤ߽ΤˤϾ뤫⤷ޤ󡥡
ͥνȡ 125ڡ 13:48:57 MAIL:uchi@sco.bekkoame.ne.jp 29232
uchinyan
ޤǼĤɤߤޤ
ȤȤʤȤ10屾Ȥ¾κ٤ˤϿʤȤˤޤ

#29200#29203#29217#29225
#29232(ˡ1)Ʊ

#29205
"Q36: ФϢԤʤɽ"γĥȤäȤǤ礦
դࡤ꤬ˤˤʤ

#29208
䣱ȡ̤ꡩ
ߤǤ͡

#29212#29213#29214#29216
#29232(ˡ2)Ʊ
#29216
亣ǯرƱˡǤ͡
դࡤǤ꤬ä

#29219#29221#29231
#29232(ˡ3)Ʊ
#29223
X(n)=3/6 * {(1-3)^n-1 * (5-33) - (1+3)^n-1 * (5+33)}
󡤻ǰʤ顤X(1) = - 3 ˤʤäƤޤΤǡ椬㤦褦Ǥϡ
X(n)= 3/6 * {(1 + 3)^(n-1) * (5 + 33) - (1 - 3)^(n-1) * (5 - 33)}
ݭǡְ㤨Ƥޤ͡

#29220#29224#29230
ץࡣ

#29227
ޤѡʤʤޤ򤤤ƤȻפޤŪˤϤ⤤⤷ʤʡ
Ĥ§ϡ¼Ūˤϡ#29232(ˡ2)ƱǤ

#29229
ʤۤɡʤʤ򤤲ˡǤ͡ŪˤϤ⤤⡣
#29227⤽Ǥꥸʥʥ󥹤Τ褤꤬ơGood Ȼפޤ ^^/
ͥνȡ 125ڡ 15:20:20 MAIL:uchi@sco.bekkoame.ne.jp 29233
Τ߹
˾Σؤ˹ʤޤ
꤬Ф˿Ƥޤޤ
125ڡ 20:05:52 29234
Ĺ
ޤƤǤȤޤ
顢äȥɥͥˤޤ
褦䤯ޤ
Ǥ⡢顢ޤǤ(T_T)
ɥͥ 125ڡ 22:01:20 HomePage:åλؤ29235
⡼ޥ
#29234
Τ߹椵󡢤Τ߹椬̴򱿤ǤƤǤȤޤ(^^)V

錄Ρ֤Ĥҥ˹ԤפäƤ̴ϤʤʤФƤޤ󡣡(^^;
126ʶ 0:33:48 29236

LؤΤޤǤ
126ʶ 0:38:50 29237
DrK
#29235
ɥͥǤ͡ե꡼λΡҶΤ¤ȯޤޤꥤե륨󥶤οۻǤ͡
ǯǯϤʤˤˤʤäƤޤ͡ȯǤ͡
饯Ǥϥե󤬻ޤ
٤ϾγڱΤϤ 127ڡ 1:57:58 MAIL:satoka@star.odn.ne.jp 29238
maverick
䤬Τ(20-30ǯ)إԥåΤƤʤäۡڡǼ޼Ԥ򸫤ȸڤäƤ롣祦(狼Ǥ硩ε)äƤ⹻Τ߹椵(ǤȤ)ĥäƤ͡

ĤήԤäͤؤˤ뤦ˡ䡢ФƤʡ

edit:̼(yurieǤǤƤޤ)ͣ˾Tؤ˼ޤñǤ
Tokyo 127ڡ 12:09:59 MAIL:tmr6664@gmail.com HomePage:main page29239
uchinyan
#29239ϤȤʤۡ
䤬Τ(20-30ǯ)إԥåΤƤʤä
Τˡ䤬¸ߤΤäΤϡ15 or 16 ǯ餤Ǥ礦󡤼ҲͤˤʤäƤФ餯äƤǤ
عξʤ֤꤬뤱ɲ򤱤롩פȤơäȤ򤱤ʤäޤ
Ǥ⡤ϻˤϼ꤬ФʤΤ¿Ǥͤ¤ϡ꤬饹򤱤ΤĤɸäꤷơ
ϢΤ㡼ߡϡΤIMOΥԤ顤ˤϱξοͤ͡ʡǤ (^^;
컲üԤˤϡ¾ˤ⡤JMOꥹȤȤäΤǤ礦͡
ʤΤ
亣ۡڡǼ޼Ԥ򸫤ȸڤäƤ롣
祦(狼Ǥ硩ε)
ȤϤޤʤǤ (^^; μϤǤ̵顣
ˡȤȡϥݡĤ䥲ޤƹʤޥڡʿͤʤΤǡ
ޤνпȹϡJMOͽˤФޤ󤷤ͤ
亣äƤ⹻Τ߹椵(ǤȤ)ĥäƤ͡
ϤǤ͡ĥäƤ

ꡤǤ͡
Τ߹椵yurie󡤤ǤȤ
ơ줫ο͡Ĵդơĥä ^^/
ͥνȡ 127ڡ 14:50:13 MAIL:uchi@sco.bekkoame.ne.jp 29240
DrK
#29240#29241
ϡʤ̵ǽ˵Ťơ;˾ߤ򤷤ʤäΤǵˤʤޤǤ
٤ϾγڱΤϤ 127ڡ 16:13:35 MAIL:satoka@star.odn.ne.jp 29242
maverick
ߤޤ29241äƤޤޤΤƤϿؤΥ20ǯϥϥӥ꤬Ƥ黻äƤ褦ʤΤǤΤλϤޤɤǤ⤤ߤʤȤǤ

Tokyo 127ڡ 16:41:48 MAIL:tmr6664@gmail.com HomePage:main page29243
£
äϤʤΤˡ
128 5:19:18 29244
10ڥꥫ1
񤷤äơ
ʤDz򤱤ɡ
128 16:56:13 29245
Ѥ
uchinyanβˡȰǤ
֡ 129ʷ 17:53:48 HomePage:ʥڡ29246
N.Nishi
뤿ӡפ֤Ǥ
129ʷ 22:29:19 29247
粬ҹ
äޤϾʬǤޤ
Ρݳʤǡ
Ĥ⣲ģ硧ߣ
Ĥ⣳ģ硧ߣ
Ĥ⣴ģ硧ߣ
Ĥ⣵ģ硧ߣ
Ĥ⣶ģ硧
äơݡʣܣܣܣܣˡᣴƻ˹ͤΤڤǤ͡ʻϽޤΤǡʡ
129ʷ 22:39:34 MAIL:toshi009@land.hokuriku.ne.jp 29248
ʸ
#29233
uchinyan꤬Ȥޤ
21ڡ 0:05:30 MAIL:kyorofumi@msn.com HomePage:ʸ29249