ž
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35ڡ 0:09:40 42984
ǯ
ǽΣʸʬ
ʸʹߤͤʸޤǤǿƤޤ
ƣ
35ڡ 0:10:35 42985
٥륯åĥ
̾Фʤ鲿Ȼפä顢ǤƤʤäǤ͡
ΤӤԤäƤޤ
35ڡ 0:12:36 42986

κȡĤ꼫ͳǣΣ
ȡĤ꼫ͳǣΣ
ȡĤ꼫ͳǣΣ
ȡƣΣƹ碌ƣ
35ڡ 0:15:17 42987
Mr.ǥ
ʸʢ
5ΤȤ......1̤
3ΤȤ......1󡢤Ȥϡ3̤...ס4C1*3=12(̤
2ΤȤ......1󡢸ϡ3^2̤....ס3C1*3^2=27(̤
1ΤȤ......2󡢸ϡ3^2̤....ס3*3^2=27(̤
0ΤȤ....1󤺤ġȤϡ3^3̤....ס2*3^3=54(̤
äơ
ס1+12+27+27+54121̤
ȤޤʤäȤˡΤʡ

ʢˤߤ󤵤ΤŦ#42990ˤޤ
ʤŦ꤬Ȥޤ
35ڡ 1:34:15 42988
ߤ
#42988

ΣʸפȤȤǤ͡

ƱǤñȤǤǸäƤޤä
35ڡ 0:28:46 42990
٥륯åĥ
ˡϤۤΤߤʤƱǤ͡
¦Ȥ߹碌ǾʬƤ줾¤Ӥͤʬݤ롣
111
4312
3927
22754
3927
121̤Ǥ
35ڡ 0:29:02 42991

Σʸ
̤ꡢʤ̤
̤ꡢȣǣ̤ꡡߣᣱ̤
̤ꡢȣǣߣ̤ꡡߣᣲ̤
̤ꡢȣǣߣ̤ꡡߣᣲ̤
̤ꡢȣǣߣߣ̤ꡦߣᣵ̤
ǡף̤ˤʤޤ
ᣱǤ˷ӤĤˡΤǤ礦?
Ϻꡡ 35ڡ 0:58:11 42992

Ф
裲ȶ̤벿
6nʸܤ˥οAn̤Ȥ
A1=13^5
A2=A1/3
A3=A1/3+A2/3
A4=A1/3+A2/3+A3/3
A5=A2/3+A3/3+A4/3
A6=A3/3+A4/3+A5/3
Ƭ˥Ĥ٤1ʬ餹
ȤѤʲˡǤ
1+3+9+27+81=121
ʤΤǡä䤫ʲˡꤽǤ͡
ͤޤ

35ڡ 0:39:05 42993
Ȥ
basic6a,b,c,d,e,f
Ŀǥ=1,=2,=3Ȥ

FOR a=1 TO 3
for b=1 to 3
for c=1 to 3
if a+b=5 and c=1 then let s1=s1+1
for d=1 to 3
if a+b+c=5 and d=1 then let s2=s2+1
for e=1 to 3
if a+b+c+d=5 and e=1 then let s3=s3+1
for f=1 to 3
if a+b+c+d+e=5 and f=1 then let s4=s4+1
10 next f
20 next e
30 next d
40 next c
50 next b
60 next a
print 3^3*s1+3^2*s2+3*s3+s4
END

f9ơ121()
˭ԡ 35ڡ 0:55:47 MAIL:fttnm528@ybb.ne.jp 42994
4329ܤβ
ΨѤΤäݤ
礫ʸ礦kʸˤʤΨP(k)Ȥ
P(1)=1/3
P(2)=P(1)/3+1/3=4/3^2
P(3)=P(2)/3+P(1)/3+1/3=16/3^3
P(4)=P(3)/3+P(2)/3+P(1)/3=37/3^4
P(5)=P(4)/3+P(3)/3+P(2)/3=121/3^5
ä6ʸܤˤʤΨP(5)/3=121/3^6
Ƥʸο3^6̤ʤΤ6ʸܤˤʤʸο(121/3^6)*3^6=121̤
35ڡ 1:06:50 42995

Ϥ褦ޤ
櫓ޤ^^;
35ڡ 3:50:31 42997
???
Option Explicit : Dim a(6) As Integer
Sub Macro1()
Cells(1, 1).Value = 0
Call saiki(1)
End Sub
Sub saiki(ByVal n As Integer)
Dim aa As String, j As Integer
a(n) = 1
While a(n) <= 3
If n < 6 Then
Call saiki(n + 1)
Else
aa = "" : For j = 1 To 6 : aa = aa + card(a(j)) : Next j
If Mid(aa, 6, 1) = "" Then
Cells(1, 1).Value = Cells(1, 1).Value + 1
Cells(Cells(1, 1).Value, 2).Value = aa
End If
End If
a(n) = a(n) + 1
Wend
End Sub
Private Function card(ByVal n As Integer) As String
Select Case n
Case 1 : card = ""
Case 2 : card = ""
Case Else : card = ""
End Select
End Function
35ڡ 8:22:28 42998
ƥ
ƥȤǤ̵뤷Ƥ
35ڡ 11:52:05 42999
uchinyan
Ϥˤϡơϡ
դࡤϺǯϤ裲ʸϤ裴 Ǥ͡
ܤǤβˡǤȤƤƻʺǽβˡΤΤޤ
ʴǡ

(ˡ1)
դꡤ6 󥫡ɤơ
ߡߡߡġߡߡߡĤ 0 ʾǤɤΥɤǤ褤
ȤʤޤǡΥɤΰͤޤ
ߡߡߡĤξ
˥ 4 ǡߡߡߡĤ 0 1 ̤ꡣ
˥ 2 ǡߡߡߡĤ 2 1 * 3 * 3 = 9 ̤ꡣ
˥ 2 󥤥 1 ǡߡߡߡĤ 1 3 * 3 = 9 ̤ꡣ
˥ 1 󥦥 1 ǡߡߡߡĤ 2 2 * 3 * 3 = 18 ̤ꡣ
ǽʤΤϤʤΤǡ1 + 9 + 9 + 18 = 37 ̤ꡣ
ߡߡߡĤξ
˥ 3 ǡߡߡߡĤ 1 1 * 3 = 3 ̤ꡣ
˥ 1 󥤥 1 ǡߡߡߡĤ 2 2 * 3 * 3 = 18 ̤ꡣ
˥ 1 ǡߡߡߡĤ 3 1 * 3 * 3 * 3 = 27 ̤ꡣ
ǽʤΤϤʤΤǡ3 + 18 + 27 = 48 ̤ꡣ
ߡߡߡĤξ
˥ 2 ǡߡߡߡĤ 2 1 * 3 * 3 = 9 ̤ꡣ
˥ 1 ǡߡߡߡĤ 3 1 * 3 * 3 * 3 = 27 ̤ꡣ
ǽʤΤϤʤΤǡ9 + 27 = 36 ̤ꡣ
ʾǤ٤ƤʤΤǡ37 + 48 + 36 = 121 ̤ꡤˤʤޤ

(ˡ2)
̤ˡn 󥫡ɤƺ n ܤʸˤʤο a(n) ̤ꡤȤޤ
ȡ
1 ܤ˥Ф
Ĥ n-1 󥫡ɤ n-1 ܤȤʤФΤǡa(n-1) ̤ꡣ
1 ܤ˥Ф
Ĥ n-1 󥫡ɤ n-2 ܤȤʤФΤǤ
n-2 ܤʸ n-2 󥫡ɤǴ˷ޤäƤ 1 ϤɤΥɤǤ⤤Τǡa(n-2) * 3 ̤ꡣ
1 ܤ˥Ф
Ĥ n-1 󥫡ɤ n-3 ܤȤʤФΤǤ
n-3 ܤʸ n-3 󥫡ɤǴ˷ޤäƤ 2 ϤɤΥɤǤ⤤Τǡa(n-3) * 3 * 3 ̤ꡣ
ʳξϤʤΤǡ
a(n) = a(n-1) + a(n-2) * 3 + a(n-3) * 3 * 3
ºݤĴ٤ơa(1) = 1a(2) = 1a(3) = 4Ǥ
Τ a(6) ʤΤǡa(4) = 16a(5) = 37a(6) = 121ꡤ121 ̤ꡤˤʤޤ
ͥνȡ 35ڡ 13:33:38 MAIL:uchi@sco.bekkoame.ne.jp 43000
uchinyan
ǼĤɤߤޤ

#42985#42987#42988#42990#42991#42992#42997#43000(ˡ1)
ǽΣʸνǾʬĴ٤ˡ
ʬλϤȤޤ͡

#42993
n ʸܤ˥οäƹͤˡ
¿ʬ#43000(ˡ2)ʤΤȻפޤ򤤹ͤȻפޤ

#42995
Ψäƹͤˡ
¿ʬ#42993ȻפޤʤޤҤȤ򤷤Ƥޤ

#43000(ˡ2)
n 󥫡ɤƺ n ܤʸˤʤοäƹͤˡ
κˤäȤפޤ

#42994#42998
ץˤˡ
ͥνȡ 35ڡ 15:07:10 MAIL:uchi@sco.bekkoame.ne.jp 43001
ϥ饮㡼ƥ
ץǹͤޤ120ФƤФǺäƤޤ
ʤͤƤߤޤ
35ڡ 17:21:55 HomePage:湩ؤ˥43002

#42993ؤ­Ǥ

An=A(n-1)/3+A(n-2)/3+A(n-3)/3
Ȥ
nȤnܤޤǤʸˤĤƤΤͭǤ
A1=3^(n-1) ϡn3dzäƤ3^0=1Ȥʤޤ
衢(n+1)ʸܰʹߤξοˤ
3^0ˤʤäƹ3dzäƤޤ
n=6ΤȤǤС
A1=3^5=[5]ɽȤϸ
A2=[4]
A3=[4]+[3]
A4=[4]+[3]+[3]+[2]
A5=[3]3+[2]3+[1]
A6=[3]2+[2]6+[1]4+[0] Ȥʤä鼡
A7=[3]+[2]7+[1]10+[0]5
[3]
A10[2]ȤƻĤ
A13[1]
A16=3^0=1̤ꡡȺǸ˻Ĥޤ


Ȥ1̤ɽƤޤ
ޤΩޤ󤬡(^_^;)

35ڡ 22:40:55 43003
Ϸʼ
֥פκ¦ǹͤޤ줺
ɤ鱦¦θΤǤ
ʡ 36ʶ 8:58:37 43004

¾ƱǾʬޤ
[]ϣʸܡ꺸¦ȱ¦¤ݤ
ˤϥ,,Τ줫ΤȤ롣

,,,,,[]
,,,,[],4*3=12
,,,[],,3*3*3=27
,,,[],,3*3*3=27
,,[],,,2*3*3*3=54

1+12+27+27+54=121
37ڡ 15:34:53 43006
ģ©
ǯƱ񤤤ΤǤֱؤΣˣɣϣӣˤؿʹΡ󼡻ýפ䤵ƤޤͤκǴؤΣˣɣϣӣˤǤ䤵ƤΤǤ礦ؿʹǤʤֱؤǤ䤵Ƥޤ
38 20:12:39 43007
uchinyan
#43003
ʤۤɡJޥޤˤФäȤפǣܰʹߤޤ褦Ǥ͡
#43000(ˡ2)Ǥ n ܰʲϤ褵Ǥ n+1 ܰʹߤϤäȤפǤϤޤʤ褦ǡ
ǤʤȤϤʤǤʣˤʤꤽǤ
ϡ򸫤Ȥ򤤤Ȥιͤ򤽤Τޤ޻Ȥ뤳Ȥ˵դƳΤǤ
ܤϻ褦ʤȤΤĤΨˤиܤƱʡǤͤδܤʬ㤦褦Ǥ
ʤȤ⤳˴ؤƤJޥޤͥƤǤ͡
ٶˤʤޤ ^o^
ͥνȡ 39ʷ 13:36:30 43008

#43008
uchinyanޡ̤Ǥm(__)m
ĤޤǤѤʤȤ˵Ť
¤ϸηä­ΤǤ(^_^;)
ŪʹͤƱǤ
(ƬAAĤ뤫B,C,DΤ줫Ĥ뤫Ȥ)
ޥåȤǤΤǤޤ裶䤬ĤΤޤޤǤ(^_^;)
ĤⲿǤ᤯򤤤ƤޤƴƤޤ(^o^)
39ʷ 15:48:27 43009
ޤ
ʬǹͤޤ
310ʲС 14:55:26 43010