ѥ
гοʺ4ܡˤʬƿޤ
1212ڡ 0:14:36 MAIL:dr-yasu@nifty.com 41220
river_history
ĤΤȤʤ顢񤭽ФǤ
1212ڡ 0:15:17 41221

432110̤ꡡäʡ
1212ڡ 0:16:45 HomePage:41222
ߤ
ԺƥäΤǧںȯФΤ񤷤Ǥ

̤õˤäơĹûĹгܤ
ʣ
ʣû
ʣĹ
ʣû
ʣĹ
ʣĹûƣģǽ
ʣûĹĹ
ʣûĹû
ʣûĹĹû
ʾΥѥ󤬡ʣˤϣ̤ꡢʳϣ̤ǽʤΤ
ǣ̤ꡣ

ϻѷξǹͤ޼פʤǽФ
꤬ʳع⤢뤷
1212ڡ 0:36:32 41223

ǧǤ10ޤ
1212ڡ 0:37:59 41224
ߤ
(#41223)
ϻѷξϰʲΣ̤Ǥ礦
ʣ
ʣû
ʣĹ
ʣû
ʣĹûƣ
ʣûĹû

ȬѷʾˤʤгμƤƤݤˤʤͽ
̹बФΤǤ礦
1212ڡ 0:45:38 41225
⡼ޥ
äȤ ^^;
ǽ2^4 Ȼפ줺
ޤơĿ(6)ʬ줹Τˡ
1+1+2+3+7=14
ϡ

1+(2-1)+(2^2-1)+(2^3-1) Ȥ̣ǡ
Τ4(г1ܤ2ࡢ23ܤ1ऺ)ƱˤʤǤͤ
ä礯...
14-4=10

ꤤˡäƤ?
1212ڡ 1:13:37 41227
abcba@baLLjugglermoka
׻ΩƤꡢºݤ˿夲ᤤǤ͡
1212ڡ 1:57:31 41228
ǯ
򺹤ʤˤϡ٤ذܤ뤫ȿ¦ذܤ뤫ʥפˤ2Ȥꤷʤ
٤ذܤ1ȿ¦ذܤ2Ȥơnѷ1,2¤Ӥn+1ѷΤ¤Ӥˤϡǽ1äơο1Τޤޤȡ2Ѥ¤Ӥ롣3ѷ䤷ƹԤ
3---4----5---6----7
11----111---1111--11111--111111
------------------12111--112111
------------1211--11211--111211__
------------------12211--112211
------121---1121--11121--111121
------------------12121--112121
------------1221--11221--111221
------------------12221--112221
11----111---1111--11111--121111__
------------------12111--122111__
------------1211--11211--121211__
------------------12211--122211__
------121---1121--11121--121121
------------------12121--122121
------------1221--11221--121221__
------------------12221--122221
6Ѥ7ѤؤäоΤǤꡢΤߤɽ
Ʊ¤Ӥ˵դߤƱ¤ӤΤΤʤ
111111, 112111, 112211, 111121, 112121,
111221, 112221, 121121, 122121, 122221
10ĤȤʤä

1212ڡ 3:40:46 41229
ǯ
#41229Τ褦1,2ɽ
Nѷξ硢οN-1ξü1˷ޤäƤΤǡN-3Ĥ12Ǥꡢ2^(N-3)Ȥꡣ
դ¤ӤƱΤΤ1/2Ф褤оΤ¤ӤΤΤ1षʤΤ롣
оΤ¤ӤΤΤϡ(N-3)/2ڤ夲2ܤΤǡ
2^(N-4)[(N-3)/2ڤ夲]
ǤϤǤ礦
N=3ξ̯ʤȤˤʤΤǤ
1212ڡ 3:48:14 41230

nξ硢
nѷǤ
2^(n-4)+2^{(n-5)/2}̤(n=5,7,9,)
ǤϤʤǤ礦
Ʊޤ󤫡
ΤȤϤޤƤޤ
ϤȤǻ֤Ȥȥ饤ޤm(__)m
1212ڡ 7:44:52 41231

ޤm(__)m
nΤȤ
2^(n-4)+2^{(n-5)/2}̤
(n=5,7,9,)

2^(n-4)+2^{(n-4)/2} ̤ˤʤޤ
(n=4,6,8)

n=7ΤȤ

ϤȽɬդˤʤꡢĤ֤ˤ
(n-3)ܤɬפǤ
ξ4ܡгˤʤ뤫դˤʤ뤫
гդ򢡤Ȥȡ
оΤˤʤΤʣʤ¤











10̤ꡣι̲ͤƤߤ
nΤȤȤǾʬɬפ
嵭Τ褦ʷ̤ˤʤޤ
ϤʤǤ
եդޤ

1212ڡ 10:11:04 41232
ǯ
#41231ʥޥޤΤǤ͡
#41230оΤ¤Ӥοְ㤨Ƥޤ
ξϡ5ΤȤڤ夲Τ1餷4ˤФ褤Τʡ
ѷ2^(N-4)2^{(N-5)/2}
ѷ2^(N-4)2^{(N-4)/2}


1212ڡ 9:30:05 41233
Mr.ǥ
1Ĥĺ饹Ȥƽ˿ʤȤվʤफޤ̲ᤷƤʤĺȷгΤ
ʤǤդγѤäȤ⾮гʤफǤʤȤСפɽ

1ĺΤ٤ƤοϩաפΤ褦ɽޤʽȽɬաפȤʤޤ
Τ褦ʿϩϡ2416̤ˤꡢΤ
оΤʤΤϡ224̤
ʳΡ16-412̤ˤˤĤƤϡդˤƱˤʤΤ2ĤĴޤޤƤޤ
ä
4+(16-4)/210Ȥޤ
1212ڡ 9:06:49 41234
mz
ְ̤äĺ̤ʤǰɮ񤭤Ǥȡפߤʾ襤ޤ󤫡
Τʤ顢򺹤ϥǤʬOKǤ͡
ѷΤޤޤη˷ꤷ顢ʬʤǤ⡢ѥޤ
1212ڡ 16:54:50 41235
ϥ饮㡼ƥ
ǧڤǤ30餤160ޤǴĥäƤȤä10ä餹줿
ڤ̼ΤȤؽ˼Ȥɤ⻺ä˽Фޤˤ¹ޤޤ
1213ʶ 19:47:29 HomePage:湩ؤ˥41236
Ȼ
ĺϤվʤफǤᤤгʤफĺ¤ǽΤȤȡȽɬվפȤʤΤ
Ĥ4ܤǽʣʤΤ뤳ȤˤʤΤǦ(2^2)=10 Ȥޤ
(2*n+3)ѷʤ顡(2^n)2^n*(2^n+1)/2 ̤
(2*n+4)ѷʤ顡2*(2^n)2^n*(2^n+1) ̤ꡡˤʤȻפޤ
1213ʶ 22:29:38 41237
pao
žͤȤ䤳ΤǹͤʤǤ褦
ޤΰ־4ܤ̤ȹͤ3ʤळȤͤ
¦4̤ꡢ16̤
ΤоΤȤʤΤ4̤ʤΤоΤ12̤
оΤʤΤϽʣΤ12/2=6̤Ȥʤ
4+6=10̤
ȤƤߤޤ
1214ڡ 2:34:23 41238
uchinyan
Ϥˤϡơϡ
ءäȲ򤱤˴㤤Ƥޤorz

֣Ĥĺ٤ƤʬǷӡפȤΤϡȤˤĺĤʤäƤФȤ̣Ȼפ
Ĥĺ飳ܰʾФƤꡤ롼פꡤѷѷȻͳѷʬΥƤ⤤ȤФפäơ
äݤȤͤɤޤֶ꤬դʤפƬƤޤ
ñ˿ޣΤ褦ʥѥͤФ褫äǤ͡ʤдñǤ

žͤʤΤǡ㤨С־ΣꤷƤˤޤ
ȡǽг̤ɬäƤޤΤǡդ򺸤˹Ԥ˹Ԥޤ󤬡
˹ԤΤϺ˹ԤΤоΤˤʤäƤޤΤǡ˹ԤͤнʬǤ
ˡθʬʤˤϡĺϾ˻ĤäƤΤξüǽʤΤǡ
2 * 2 * 2 * 2 = 16 ̤
ΤŬ˲žмʬȤǺоΤˤʤΤ
2 * 2 = 4 ̤
ꡤʳβž΢֤ƱˤʤΤϽΤǡɡ
(16 - 4)/2 + 4 = 10 ̤
ˤʤޤ

̲ʤɤε⤵Ƥ褦Ǥ͡
ǼĤɤٶޤ
ͥνȡ 1214ڡ 17:23:53 41239

#41232

ξüդʤΤǡ֤(n-3)ܤբг
оΤʣʤ褦¤٤ο롣

nn-3=2k(k=1,2,3,)ΤȤ
k k
ĢĢ¤ͤ롣
ޤ2k=(n-3)Ĥ¤2^(2k)=2^(n-3)Ȥ
Τ켫κоΤ¤1Ф褤
ʳ¤ϡ
ȱȤƱ(о)ˤʤΤ
ʣƿƤ뤳ȤˤʤΤȾʬǤ褤
äơ{(¤)+(о)}2Ф褤
оΤ¤ϡȾʬk=(n-3)/2Ĥ¤
ƱʤΤ2^{(n-3)/2}̤ꡣäƵͤ
[2^(n-3)+2^{(n-3)/2}]/2=2^(n-4)+2^{(n-5)/2}̤
(n=5,7,9,)Ȥʤ롣

nn-3=2k+1(k=0,1,2,)ΤȤ
k 1 k
ĢĢ ¤ˤĤƹͤ롣
ͤϴΤȤȰ
{(¤)+(оΤ¤)}2Ф褤
¤ϡ2^(2k+1)=2^(n-3)̤ꡣ
оΤ¤ϡȾʬkĤ¤
줾좣ʬ(г)()2̤ꤢΤ
2^k2=2^(k+1)=2^{(n-2)/2}̤ꡣäƵͤ
[2^(n-3)+2^{(n-2)/2}]/2=2^(n-4)+2^{(n-4)/2}̤(n=4,6,8,)
Ȥʤޤ

ְ㤤Ŧޤޤm(__)m

1215 13:37:40 41240
pao
γѷǤϻβˡǤƱͤβƤޤΤǴְ㤤ʤȻפޤ
γѷǤ̤ڤǤ^^
>Jޥ
1215 9:24:47 41241
uchinyan
#41240
Jޥޤ󡤾ܤ򤢤꤬Ȥޤ
ȻפޤǼ㴳ˤʤĤޤ

ܤϡǽդǤ˹Ԥ˹ԤꤷƤΤʤΤǤ
ꤷʤˤϡˣܤˤʤޤ
󡤺΢֤޷ˤʤΤȾʬˤ̤Ѥޤ󤬡Τǵˤʤޤ

ܤϡܤȤطޤ㤨СѷǺǽ麸˹ԤȤ硤
μˤäƤϡ޷ȤƤϼʬȤǺоΤǤʤžоΤο޷⸽ޤ
󡤷׻λƱʤΤǷ̤ˤϱƶޤ󤷡
оΤΰ̣ºݤο޷ǤϤʤ¤Ӥΰ̣˻ȤäƤΤʤʤΤǤ
Ϥϵˤʤޤ
ʤξʤȻפޤ

٤ǤƤ
ͥνȡ 1215 12:00:18 MAIL:uchi@sco.bekkoame.ne.jp 41242

#41241 paoեդޤm(__)m
#41242 uchinyan󡢤Ŧ꤬Ȥޤm(__)m

Ŧ褦ˡ
ξ硢ǽդΰ֤ȸꤷƹͤޤ
â񤭤źФ褫äǤ͡
βžоΤ⡢ޤ褯ƤƤʤäΤǤ
դθꤷơ
ˤĤƤϽ˵¤κоΤͤ
1Ȥʤȡġ(^-^;
ߥޥŪƤ٤Ŧ

1215 14:04:03 41243
uchinyan
#41243
ϤʤȻפޤפϡΤʤ褦ɽäʤΤǡ

ˤ衤ϰ̲⤦ޤޤ͡
ͥνȡ 1215 14:29:37 MAIL:uchi@sco.bekkoame.ne.jp 41244
ѥ
ˡꤽʤٶˤʤäƤޤ򾮳򤯤Ȥ顢ɤäƲ򤯤ΤǤ礦äѤʬƿ夲뤷ʤ褦ʵޤޥ뤵˰ո򤦤Ǥ
1216ʷ 1:24:46 41245