ߤ
ʣ˽ɴ顦ΰ̤ˣޤޤʤ
ߣߣߣᣴ̤
ʣ¡˰졦ɴΰ̤ξ硢졦ΰ̤ξ
ʣߣߣˡߣᣱ̤

ʾꡢܣᣵ̤
26ڡ 0:31:57 41378
pao
A 0 1̤
B 19 9̤
C 19 8̤
ǾʬˡפĤޤǤ
26ڡ 0:33:14 41379

ߤ󤵤ƱǤ
裲롼ס 26ڡ 0:37:27 HomePage:41380
ǯ
̤ʤΤǡȤʳʬƹͤޤ
ܡܡܡܡ
ȤꡲȤꡲȤꡲȤꡲ
Ȥꡲ9*9*8᣶
ȤꡲȤꡲȤꡲ9*8*9᣶
ȤꡲȤꡲ
Ȥꡲ9*8*8*8ᣴ
סᣵ


26ڡ 0:54:21 41381
Mr.ǥ
ߤ󤵤ƱˡǤ
ʰ°פ˹ͤơְ㤨ޤ
26ڡ 0:44:32 41382
⡼ޥ
ǯԤƱǤ ^^

1*9*(8*(8*8+1*9)+1*(9*8))
ʳݡ^^;...
26ڡ 0:55:06 41383

nλ(1/10)*{9^n+9*(-1)^n} (n2)
(1/10)*{9^5+9*(-1)^5}=5904̤ꡣ
ӥå 26ڡ 2:53:09 41384
⡼ޥ
ʤȹͤƤߤ^^;
abcd0
դͤ dcba 4ΤΡ9^4
Ǹa0ǤϤʤĤεդ bcd 39^3ơ
Ǹd0ǤϤʤΤǡĤεդ cd 29^2 äơ
ΤޤǸ c0ǤϤʤΤǡĤεդ d 19^1
ʷ֤ˤˤʤΤǡ?
9^4-9^3+9^2-9=5904
26ڡ 1:26:38 41385
Ȥ
basic 5abcdeȤ

for a=1 to 9
for b=0 to 9
if b=a then goto 40
for c=0 to 9
if c=b then goto 30
for d=0 to 9
if d=c then goto 20
for e=0 to 0
if e=d then goto 10
let s=s+1
10 next e
20 next d
30 next c
40 next b
50 next a
print s
end

f9ơ5904()
˭ԡ 26ڡ 1:45:02 41386
fumio
Ϥ褦ޤ
⤷äǤ
꤬ȤޤǤϤǤϡ
26ڡ 6:05:00 41387
ϥ饮㡼ƥ
Ϥ褦ޤץǤscilabȤߤޤȤ⤵ȻƤޤ
gotoȤޤΤǰ칩פɬפǤ
26ڡ 6:40:49 HomePage:湩ؤ˥41388
ϺĹ
Ǻߤޤ˲򤳤Ȥʤ餺ǧڤDzϤͤĤޤǸϡǯԤƱͤ˹ͤޤʤȤʤǼǤʤ⤢ΤǡͤƤߤޤ
26ڡ 9:34:36 41389
ǯ
#41385⡼ޥ󤵤ιͤϤ⤷Ǥ͡
ιͤŸȡ 9^(n-1) (-1/9)n-1
ˤʤꡢ#41384Ʊˤʤ褦Ǥ
nξƳˡҲ𤷤ĺȤ꤬Ǥ
26ڡ 9:47:15 41390
???
Υޥ
Option Explicit
Dim a(5) As Integer
Sub Macro1()
Cells(1, 1).Value = 0
a(5) = 0
Call saiki(1)
End Sub
Sub saiki(ByVal n As Integer)
Dim s As Long
Dim dame As Integer
Dim j As Integer
If n = 1 Then
a(1) = 1
Else
a(n) = 0
End If
While a(n) <= 9
dame = 0
If 1 < n And n < 4 Then
If a(n - 1) = a(n) Then
dame = 1
End If
ElseIf n = 4 Then
If a(3) = a(4) Or a(4) = a(5) Then
dame = 1
End If
End If
If dame = 0 Then
If n < 4 Then
Call saiki(n + 1)
Else
Cells(1, 1).Value = Cells(1, 1).Value + 1
s = a(1)
For j = 2 To 5
s = s * 10 + a(j)
Next j
Cells(Cells(1, 1).Value, 2).Value = s
End If
End If
a(n) = a(n) + 1
Wend
End Sub
26ڡ 10:02:25 41391

ˤ

Ϥ5ABCD0Ȥơ
A=DΤȤ998=648
ADA=CΤȤ989=648
ADACΤȤ9888=4608
碌648+648+4608=5904ĤȲ򤭤ޤ

n˰̲
n 娡
An
A(n+1)
n 娡

A(n+1)Ͼn٤礦ƱǤʤ٤Ƥ¤
10ΰ̤0Ȥʤ¤ʤAnĤФ褤Τ

A(n+1)=9^n-AnΩޤ
A1=0A2=9
n=2kΤȤ
An=A2k=8(81+81^2++81^(k-1))+9
=1/10(9^n+9)
n=2k-1ΤȤ
An=A(2k-1)=8(9+981+981^2++981^(k-2))
=1/10(9^n-9)
äAn=1/10{9^n+(-1)^n9}
ȳƱˤʤޤ
ݤǤʬʤƤ򤱤Ǥ礦
⡼ޥ󤵤ιͤ򤤤Ǥ

26ڡ 12:03:28 41392
ޤ륱
¾˻褦ʲʤäΤǡ

٤礦ۤʤnοˤĤơ
夬0οθĿa(n)夬0ʳοθĿb(n)Ȥȡ
a(1) = 0
b(1) = 9
a(n+1) = b(n)
b(n+1) = a(n)*9 + b(n)*8
Ȥޤ
ʤ硡 26ڡ 11:41:26 HomePage:ޤ륱41393

#41390 ǯԤ
̤ǡ󤫤ΤΤǤ
٤礦ߤ˰ۤʤAn1ΰ̤0ξBnȤ롣
Anϡη夬0ʳɤΤ9̤ꡢʹ߾̤ηοʳȤʤäƤΤǡAn=9^n
n=1λB1ϡˤʤʤΤB1=0
n2λ夫10ΰ̤ޤǤĤοȹͤ
10ΰ̤0ˤʤʤȰʳϡAn=9^nλξΤ
Bn=An-1-Bn-1 (n2)
äơBn=-Bn-1+9^(n-1) (n2)
ȸΩġηͤ
Bn-9^n/10=-{Bn-1-9^(n-1)/10}
ѷǤΤ
Bn-9^n/10=(-1)^(n-1)*(B1-9/10) (n2)
B1=0
Bn=(1/10)*{9^n+9*(-1)^n} (n2)

ä餹ߤޤ󡣼񤭤Τ褦˸񤤤Ǥ͡

ӥå 26ڡ 12:15:12 41394

#41394
ʤۤɷΤ褦ѷǤΤǤ͡
ʬǤϤʤʤǤʤw
26ڡ 12:29:33 41395
uchinyan
Ϥˤϡơϡ
ϡĥĴ٤ƤⲿȤʤꤽǤʴǡ

(ˡ1)
夬 0 ǡ٤礦οϸߤ˰ۤʤΤǡ
飲ܤ 1 9 9 ̤ꡣ
飳ܤ 0 ϣܤȤϰۤʤ 1 9 οǤ
飳ܤ 0 ξ
飳ܤ 0 1 ̤ꡤ
飴ܤ 1 9 9 ̤ꡤ
飵ܤϣܤȤϰۤʤ 1 9 8 ̤ꡤǡ
9 * 1 * 9 * 8 = 648 ̤ꡣ
飳ܤܤȤϰۤʤ 1 9 οξ
飳ܤϣܤȤϰۤʤ 1 9 8 ̤ꡤ
飴ܤ 0 ϣܤȤϰۤʤ 1 9 οǤ
飴ܤ 0 ξ
飴ܤ 0 1 ̤ꡤ
飵ܤ 1 9 9 ̤ꡤǡ
9 * 8 * 1 * 8 = 648 ̤ꡣ
飴ܤܤȤϰۤʤ 1 9 οξ
飴ܤϣܤȤϰۤʤ 1 9 8 ̤ꡤ
飵ܤϣܤȤϰۤʤ 1 9 8 ̤ꡤǡ
9 * 8 * 8 * 8 = 4608 ̤ꡣ
ʾǤ٤ƤʤΤǡ
648 + 648 + 4608 = 5904 ̤
ˤʤޤ

(ˡ2)
n ξˤ n+1 ξͤȡ n Ȳʬơ
(n+1 Dz夬 0) = (n Dz夬 0 Ǥʤ) * 1
(n+1 Dz夬 0 Ǥʤ) = (n Dz夬 0) * 9 + (n Dz夬 0 Ǥʤ) * 8
(2 Dz夬 0) = 9 * 1 = 9(2 Dz夬 0 Ǥʤ) = 8 * 9 = 72
Τǡ
(3 Dz夬 0) = 72 * 1 = 72
(3 Dz夬 0 Ǥʤ) = 9 * 9 + 72 * 8 = 81 + 576 = 657
(4 Dz夬 0) = 657 * 1 = 657
(4 Dz夬 0 Ǥʤ) = 72 * 9 + 657 * 8 = 648 + 5256 = 5904
(5 Dz夬 0) = 5904 * 1 = 5904 ̤
ˤʤޤ

̲ϡ(ˡ2)ưפˡ(9^n + 9 * (-1)^n)/10 ̤ꡤǤ͡
ͥνȡ 26ڡ 13:22:31 MAIL:uchi@sco.bekkoame.ne.jp 41396
ˤ
ΰ̤9̤ꡢɴΰ̤9̤ꡢΰ̤9̤ꡢΰ̤8̤顦ȤñʹͤϤɤְäƤΤ줫Ƥ
26ڡ 16:23:49 41397
uchinyan
ǼĤɤߤޤ

#41378#41379#41380#41381#41382#41383#41389#41396(ˡ1)
ʳη 0 뤫ɤǾʬƹͤˡ

#41384#41392θȾ#41393#41394#41396(ˡ2)
ˤˡ

#41385
Ǿ̷夬 0 ǤϤʤȤѤơƷοս¤١ǽʾʤǤˡ
ࡤϤʤʤȴʥǥǰ̲ưפ򤤤Ǥ ^o^

#41392Ⱦ
٤ʤοɤǾʬƹͤˡ

#41386#41388#41391
ץˤˡ
ͥνȡ 26ڡ 17:21:11 MAIL:uchi@sco.bekkoame.ne.jp 41398
uchinyan
#41397
佽ΰ̤9̤ꡢɴΰ̤9̤ꡢΰ̤9̤ꡢΰ̤8̤顦ȤñʹͤϤɤְäƤΤ줫Ƥ
餫ˡΰ̤8̤פȤΤϤǤ
ΰ̤ 0 ʤ 9 ̤Ǥ顣
ˤȡ0 ˤʬβˡ˹ԤǤ͡
ͥνȡ 26ڡ 17:28:20 MAIL:uchi@sco.bekkoame.ne.jp 41399
ˤ
uchinyan
Ǥ͡ʤۤɡ
ǯƤѤ餺ñ˦Ǥ
꤬Ȥޤ
26ڡ 18:19:47 41400

äȷ׻ǤʤȻפʤ狼餺ѥξʬǵޤ
ǤѤʤΤΰ̤ΤȤ£ãȤʤΤǡ棳Σ£äοᡢΰ̤ϣΣ̤ʤΤǣܤȤǵޤ
ɡο̤꤫飱£á£¡£¤ηΤΤƣ̤ꡣߣᣵȤʤäΤǤʣΤΤ˻֤ꡢƬˤʤޤ
ߤʤˡٶƤޤ
26ڡ 19:17:49 41401
ǯ
#41394󡢤꤬Ȥޤ
Τ褦ʴñ˸Ǥ⡢빽ȳؤ٤ޤ͡
26ڡ 19:50:45 41402
Ϸʼ
褯ʬʤΤǿ򣰤ȣʳǾʬƽФޤ
ߣߣߣᣱ
ߣߣߣᣴ
סǤ

θ弡Τ褦˹ͤƤߤޤ
ܤοϣǤ͡ʣǤϣˤʤޤ
衡ߣᣵ
ʤߤˣܤʳǤ飵Ȥʤޤ
ʳξϣڤ夲ǣߣᣰǤ
ξϣڤ겼Ǥ
ιͤϤɤǤ礦
ʡ 27ʶ 9:39:26 41404
⡼ޥ
#41404 Ϸʼ...
ܤ0ʳξϡ
9^4-9^3+9^2-8=5905
Ǹ(0)(0ʳο)ΣĤȤʤ
ˤʤȻפޤ?
5905*9+5904=(5904+1)*9+5904=5904*10+9=59049=9^5
27ʶ 22:41:49 41405
Ϸʼ
⡼ޥ󤵤
ɥХ꤬Ȥޤ
塢å񤯤Ȥλͤˤޤ
ʡ 28ڡ 9:24:23 41406
Ϸʼ
Ľ˺ޤ
ϡ֣/פȤäΤ㤦ΤʤȻפޤ
ʡ 28ڡ 9:36:15 41407
٥륯åĥ
Ǥ
οͤˤΥڡ򶵤ƤäƤäƤߤޤ
ꤤޤ
210ʷ 22:42:31 MAIL:r_tanaka28@hotmail.com 41408