Ҥ
եܥʥåŪѤǤ
2,4,6,10,16,26,42,68,110,178,288,466,754,1220,1974
ʼ˸ͻԡ 624ڡ 0:07:09 36369

ä衪
äΤˡɤΣͤ餱衪
Ķä衪

ߤʤϤ꤬Ȥޤ
ȤƤڤäǤ
624ڡ 0:07:23 36370
ޥ
դեߤǡ֤⤦ΤҤ礳äȽФƤХʤΤǤϡפȸ줿ΤǡΤ򥢥󥸤ΤФƤߤޤ

http://www.sansu.org/kakomon/toi036.html

Ǥ礦ɡեߤ˻ä줿̤äȤȤ⤢ޤ...

ä԰¤äΤϡ֤ɤäǽꤷƤʤʡפȤȤǤ...Ĵ٤ޤޤäƱʤΤϤʤȻפΤǤ...ࡣ
624ڡ 0:08:17 36371
Ĺ
פ֤Ǥ
ФȤλ֤ޤǵƤʤơ

ϡ
Ϣ³ꡢñȯꡡ150ᣱ
Ϣ³ꡢñȯꡡ14114

Ϣ³ꡢñȯꡡ87᣸
ιףˡؤäΣݤ ̤
Ȥޤ
Ϥޤޤġ 624ڡ 0:09:51 HomePage:åλؤ36372
ޥ
#36369ʤ餫ߤ
衼ʬޤ
624ڡ 0:10:06 36373
Taro
Ǹ1Ϣ2246
Ǹ2Ϣ0224
ʡϾ)
ʤɤȽ񤤤Ƥ뤦ˡեܥʥå1415¤2ܤȵŤΤ
1(610+987)2=31941ऺƤޤǾ٤ޤ

624ڡ 0:15:25 36374

nܤξɽǡľ2礬ޤϡߡߤǽäƤΤan,ߤޤϡߡǽäƤΤbnȤ
ΤȤa(n+1)=bn,b(n+1)=an+bnΩġ
ϱ䡹ȲäƤ1974̤ȽФ롣

1974ΰ̣ϤΤʡ(49ǯ)
624ڡ 0:18:05 36375
CRYING DOLPHIN
ƤäͥȻפޤ
ï⤤ʤԳϡ 624ڡ 0:23:57 HomePage:ƻ36376

ǽϡϢξ礬ߡߡߡߡߡߡ
ǡΰ֤äƤ⤤顢̤
ϢԤξƱͤˤȤ

ˣϢǣϢԤǤȤ٤ƽ񤭽ФƤޤ
ޤޤѤ飳äDz򤱤ޤorz

ܤ餤ޤǽ񤭽ФƤȤǤեܥʥå
򤭤ޤ
ߣ˺줺ˡ1974
ޡ 624ڡ 0:30:33 36377
ڼ
餱ΤĤʤޤȤСեܥʥåǤ뤳Ȥʬޤ
ǽ餬ξ餱ξ礬Τǣܤޤ
Ψ򤤤⤷ޤ
ȤζƱʾijΨˤΤȤܤޤ
Ϣ⣳ϢԤʤΨϤĤǤ礦
͡ 624ڡ 0:34:45 MAIL:iida@ae.keio.ac.jp 36378
Ȥ
ʲνbasic1974Ĥ8ʬ餤ǤǤޤ
꤬ǤȤϥ졼򿩤٤Ƽư䵡ǥä
ߤʤޤ٤ʤѳڤäǤ

FOR a=0 TO 1
FOR b=0 TO 1
FOR c=0 TO 1
IF a+b+c=0 OR a+b+c=3 THEN GOTO 130
FOR d=0 TO 1
IF b+c+d=0 OR b+c+d=3 THEN GOTO 120
FOR e=0 TO 1
IF c+d+e=0 OR c+d+e=3 THEN GOTO 110
FOR f=0 TO 1
IF d+e+f=0 OR d+e+f=3 THEN GOTO 100
FOR g=0 TO 1
IF e+f+g=0 OR e+f+g=3 THEN GOTO 90
FOR h=0 TO 1
IF f+g+h=0 OR f+g+h=3 THEN GOTO 80
FOR i=0 TO 1
IF g+h+i=0 OR g+h+i=3 THEN GOTO 70
FOR j=0 TO 1
IF h+i+j=0 OR h+i+j=3 THEN GOTO 60
FOR k=0 TO 1
IF i+j+k=0 OR i+j+k=3 THEN GOTO 50
FOR l=0 TO 1
IF j+k+l=0 OR j+k+l=3 THEN GOTO 40
FOR m=0 TO 1
IF k+l+m=0 OR k+l+m=3 THEN GOTO 30
FOR n=0 TO 1
IF l+m+n=0 OR l+m+n=3 THEN GOTO 20
FOR o=0 TO 1
IF m+n+o=0 OR m+n+o=3 THEN GOTO 10
PRINT a;b;c;d;e;f;g;h;i;j;k;l;m;n;o
10 NEXT o
20 NEXT n
30 NEXT m
40 NEXT l
50 NEXT k
60 NEXT j
70 NEXT i
80 NEXT h
90 NEXT g
100 NEXT f
110 NEXT e
120 NEXT d
130 NEXT c
140 NEXT b
150 NEXT a
END
˭ԡ 624ڡ 0:43:12 MAIL:fttnm528@ybb.ne.jp 36379
ͣ.ǥ
ΥեߤǤϡڤ֤򤹤Ȥޤޥ뤵󤪤ӳ ͭ񤦤ޤ

㤴ȹͤƤ뤦ˡϤΤ褦ʤΤĤäƲ򤯤ʤȡ #36375Ʊ褦ʲˡˤʤޤ
624ڡ 0:47:34 36380
sugitakukun
ɤ⡣
ˤˤ񤤤ϤФϡǤʤϤפ֤Ǥ^^;

ơ#36374Τ褦ˡľϢפȡľ11ԡפΥɽˤޤ
ޡեܥʥåФƤ뤫ɤ()ŻˤƤ뤫ɤΰ㤤Ǥ礦ġ

15ܤޤɽ񤭤ޤ衩

ȤҤä֤Rankingι򤵤Ƥޤorz
ǯȾȡλǯȾη̤ʤФƤޤΤǡФɡ

ǤϤǤϡ
ʿSHK衡 624ڡ 0:49:24 MAIL:sugitakuunikun@msn.com HomePage:White Shadow36381
beji-ta
ǼޤǥեʥܥåǤ뤳Ȥʬޤ
624ڡ 0:52:27 MAIL:ta25ka@sun.ucatv.ne.jp 36382
⡼ޥ
ƻ...
00110...(2,3)-((2,4),(6,9))-(((2,4),(8,12)),((6,12),(18,27)))=(2+8+6+18)+2(4+12+12+27)=144
00100...(1,2)-((1,2),(4,6))-(((1,2),(4,6)),((4,8),(12,18)))=(1+4+4+12)+2(2+6+8+18)=89
00101

01001
01011
01010
01100
01101

2*(144*5+89*3)=1974
...^^;...v
624ڡ 0:59:29 36383
fumio
Фϡफफޤ͡Τ⤦ͤ
ΤȤľ˽񤤤ƥեܥʥåߤĤ褦ʡϤϤϡ
äѤ구§Ͻ񤯤ΤδܤϤϤϡǤϤޤ͡
奪եߤ꤬ȤޤڤäǤ
624ڡ 1:07:34 36384
cyclone
ޢեܥʥå
ǰ700ܤϲ򤱤ʤäݵ
624ڡ 1:13:54 36385

οǤ
624ڡ 1:57:24 36386
???
Option Explicit
Dim a(15) As Integer
Sub Macro1()
Cells(1, 1).Value = 0
Call saiki(1)
Range("A1").Select
End Sub
Sub saiki(ByVal n As Integer)
Dim dame As Integer
Dim j As Integer
a(n) = 0
While a(n) <= 1
If n <= 2 Then
dame = 0
ElseIf a(n - 2) = a(n - 1) And a(n - 1) = a(n) Then
dame = 1
Else
dame = 0
End If
If dame = 0 Then
If n < 15 Then
Call saiki(n + 1)
Else
Cells(1, 1).Value = Cells(1, 1).Value + 1
For j = 1 To 15
If a(j) = 0 Then
Cells(Cells(1, 1).Value, j + 1).Value = ""
Else
Cells(Cells(1, 1).Value, j + 1).Value = ""
End If
Next j
Range("B" & Cells(1, 1).Value).Select
End If
End If
a(n) = a(n) + 1
Wend
End Sub
624ڡ 9:02:09 36387
abcba@jugglermoka
nϢ³ǾĻ餱ʤͤʾNֻ򤹤Ȥ夭A_{n]̤Ȥȡ

A_{n}=A_{N1}A_{N2}....A_{Nk}.....A_{Nn1}
A_{n}=2^(n)2
A_{nk}=2^(nk)
1kn1n<NС4Ϣ³ǾĻ餱ʤϥȥܥʥå5Ϣ³........ȤǤ͡
624ڡ 10:28:52 36388
(Keigei)
եܥʥåʳβġ
ǤǤοȤƤϡƱǤΤǡξᡢǣܤޤ
ϢϢԤʤ硢1̤ꡢ
ϢϢԤξ硢ΣĤ֤餻14114̤ꡢ
ϢϢԤξ硢ΣĤ֤餻13278̤ꡢ
ϢϢԤξ硢ΣĤ֤餻123220̤ꡢ
ϢϢԤξ硢ΣĤ֤餻114330̤ꡢ
ϢϢԤξ硢ΣĤ֤餻105252̤ꡢ
ϢϢԤξ硢ΣĤ֤餻9684̤ꡢ
ϢϢԤξ硢ΣĤ֤餻878̤顢
(11478220330252848)21974 ̤Ǥ
624ڡ 11:10:45 36389
uchinyan
Ϥˤϡơϡ
ϡ򤤤ȤޤեܥʥåǤ͡
ؤäݤʤäƤޤޤʴǡ

(ˡ1)
ˤˡǤ¿ʬɽʬ䤹Ǥ礦
̤ˡn ܤξܤ n ܤξͤȡ
n-2 ܤ n-1 ܤ ξ硤n ܤ
n-2 ܤ n-1 ܤ ξ硤n ܤϾ
n-2 ܤ n-1 ܤ ξ硤n ܤϾ
n-2 ܤ n-1 ܤ ξ硤n ܤϾ
ޤ󡣤ꡤοϡ
(n ܤ) = (n-2 ܤ n-1 ܤ) + (n-2 ܤ n-1 ܤ) + (n-2 ܤ n-1 ܤ)
(n ܤ) = (n-2 ܤ n-1 ܤ) + (n-2 ܤ n-1 ܤ) + (n-2 ܤ n-1 ܤ)
ϡΡֿפȤƤϡ
(n-2 ܤ n-1 ܤ) + (n-2 ܤ n-1 ܤ) = (n-1 ܤ)
(n-2 ܤ n-1 ܤ) + (n-2 ܤ n-1 ܤ) = (n-1 ܤ)
(n-2 ܤ n-1 ܤ) = (n-2 ܤ)
(n-2 ܤ n-1 ܤ) = (n-2 ܤ)
ʤΤǡ
(n ܤ) = (n-1 ܤ) + (n-2 ܤ)
(n ܤ) = (n-1 ܤ) + (n-2 ܤ)
Ȥʤꡤɡ
(n ) = (n ܤ) + (n ܤ) = (n-1 ܤ) + (n-2 ܤ) + (n-1 ܤ) + (n-2 ܤ) = (n-1 ) + (n-2 )
Ĥޤꡤ
(n ) = (n-1 ) + (n-2 )
Ǥ(1 ) = 2(2 ) = 4 Ǥϡn = 15 ޤǷ֤ơ
2, 4, 6, 10, 16, 26, 42, 68, 110, 178, 288, 466, 754, 1220, 1974
ǡ1974 ̤ ˤʤޤ

(ˡ2)
ʲˡ⤢ޤ͡
פˡ餱ޤǤ³ʤΤǡ
15 ֤ǡϢϢԤ⤷ʤ A a ϢϢԤξ B b 󡤤Ȥȡ
a + 2b = 15
ꡤ(a,b) = (15,0), (13,1), (11,2), (9,3), (7,4), (5,5), (3,6), (1,7) Ǥ
ab Ф AB ¤١ü顤 顤 ߤˤդäƤޤ
㤨СAAABBABBAAA ξϡ



줬դɽȰабޤ
ޤab Ф AB ¤ a + b Ĥ b Ĥ֤ΤƱʤΤ (a+b)Cb ̤Ǥ
ǡοϡ
(15C0 + 14C1 + 13C2 + 12C3 + 11C4 + 10C5 + 9C6 + 8C7) * 2
= (1 + 14 + 78 + 220 + 330 + 252 + 84 + 8) * 2
= 987 * 2
= 1974 ̤
ˤʤޤ
ͥνȡ 624ڡ 13:09:43 MAIL:uchi@sco.bekkoame.ne.jp 36390
ϺĹ
ĩϤ3ǯޤǤκ®ǡ¿ʬ12ʬȯޤʤϲ֤Ǻ硢ְ㤦Τˡⴷ줬Ǥ͡Ǥ򤷤
624ڡ 12:30:57 36391
uchinyan
ǼĤɤߤޤ

#36371
դեߤǡ֤⤦ΤҤ礳äȽФƤХʤΤǤϡפȸ줿Τǡ
Τ򥢥󥸤ΤФƤߤޤ
ʤۤɡˤ꤬äΤǤ (^^;

#36369#36374#36375#36377#36378#36380#36381#36382#36384#36385#36388#36390(ˡ1)
äݤͤˡեܥʥåˤʤޤ͡
ºݤϿ夲˶ᤤΤʡȤΤ⤤Ĥޤ
ξǤ֥եܥʥåפȤɤäˤϡʬषޤ

#36372#36389#36390(ˡ2)
15 ֤ɽϢϢԤ⤷ʤϢϢԤξ¤Ӥˤʤ뤳Ȥܤˡ

#36379#36387
ץˤˡ

#36383
夲ʡȤˡ

ʤ

#36376
ƤäͥȻפޤ
ΤˤФϺѤʤȤ̾ŲϤɤʤ
ͥνȡ 624ڡ 13:03:04 MAIL:uchi@sco.bekkoame.ne.jp 36392
wowka
ܣ̤ꡢ̤ꡢ̤ꡢ̤ꡢ̤Ĥ­ȡͤ륱ФƤȽǡäơܤȣܤ
­ȣܣᣱ̤Ȥʤޤ
­ȣ
624ڡ 19:36:01 MAIL:takatu@iris.ocn.ne.jp 36394
ɡǤ
եܥʥåǤ͡ĤΤǤ׻ߥ٤⤷Ƥޤޤ
624ڡ 20:27:06 36395

ʤǥեܥʥåˤʤΤ狼ʤΤǤʤ󤫤ʤȤ󤷤Ƥߤޤ
625ʶ 11:55:16 36396
⡼ޥ
#36392
夲ߤʤΤǤ...
ǽ餬0ΤΤǻϤޤ룲Ĥǹͤ...5ĤޤǷޤ...ϤκǸΣĤǼ3Ĥޤ...ϤκǸΣĤǼΣĤޤ򷫤֤...5+3+3+3=14...Ǹ...00 or xx ǽäƤΤϰ̤˷ޤꡢǤʤΤ2̤ꤢΤ...äƷ׻ޤ...^^;
Τˤ...
00110...(2,3)-(2(1,2),3(2,3))-((2(1,2),4(2,3)),(6(1,2),9(2,3)))=(2+8+6+18)+2(4+12+12+27)=144
00100...(1,2)-((1,2),2(2,3))-(((1,2),2(2,3)),(4(1,2),6(2,3)))=(1+4+4+12)+2(2+6+8+18)=89
00101

01001
01011
01010
01100
01101

Ǹ夬ƱΤˤʤΤ5̤ꡢۤʤΤ̤...ǽ餬 xǻϤޤΤƱΤǣܤ...
2*(144*5+89*3)=1974
Ǥ...ѤǤ...^^; Orz...
625ʶ 23:18:51 36397
ɡɤ
ʬޤǤ
626ڡ 10:09:53 36398
⡼ޥ
#36397
>Ǹ夬ƱΤˤʤΤ5̤ꡢۤʤΤ̤...

ְ㤤...^^;...

Ǹ夬ƱΤˤʤΤ3̤ꡢۤʤΤ5̤...

Orz~
626ڡ 17:32:02 36399

1ܡ15ܤȿСեܥʥåʤΤΤʤ餷
2,4,6,10,16,26,42,68,110,178,288,466,754,1220,1974
󽬤äƤʤΤǡΤֶꡰ
֤ʤäƤȤǡ󡢹ʹ߾ά줿Ϥʤˤ
ŷϿ͡ 628ʷ 4:05:31 36400