ߤʴǡƻˤƹͤޤ
ȥ⥨󡢢ޥ뤵󡢤ߤʡ
뤬̤ͤơ
ܣܣܣᣲ
ܿĻԡ 516ڡ 0:08:52 HomePage:̣λ40531
ߤ뤯
123ޤǹͤƤɤǥեܥʥå䡪
13äƥ
516ڡ 0:10:25 40532

ȥ⥨Τ餦ɤΥѥΤ®񤭤ޤ
λ
(1,2,3)(1,2,4)(1,2,5)(1,3,4)(1,3,5)Σ̤
λ
(1,2,3,4)(1,2,3,5) (1,3,5,6) Σ̤
λ
1館ɬϣˤʤΤǡ̤
Ф˾ƤΤǡ̤
ף̤

ǽ顢ɤ餦֤ȤͤΤȿɤߤ
ƱǤ⡡̤̤˹ͤȤˡǤޤ
ˤϡΥɤǤϡܣȡݣȾ
ᤷƤäȾǤäƤޤ
裲롼ס 516ڡ 0:11:24 HomePage:40533
Mr.ǥ
#40531ȤޤäƱͤˤޤ
516ڡ 0:12:01 40534
AU
ʬ⥫ȤƤޤ󤫡
Ҥޡ 516ڡ 0:18:19 40535

ǽŪ˥ȥ⥨󤬾äΤ顢ȥ⥨ϣʾäƤ뤳Ȥˤʤꡢ̤ǤϤʤ̤꤬Ǥϡ
516ڡ 0:18:34 40536
ޥ
#40536
ޤäƱξƤޤm(__)mޤ齤ޤ....m(__)m
ҡ 516ڡ 0:20:08 HomePage:40537

ǽϥȥ⥨4ΤȤ9̤ꡢ5ΤȤ5̤ꡢ6ΤȤ1̤ʤΤ15ääƥäΤǡޤ񤤤Ʊξ20̤ƤޤäȤΤľäǤ
516ڡ 0:26:54 40538
ʸ
üȿͤ०ȤȯۤޤפĤޤ

ǼĤ˽񤭹ʤƼʬְ㤤˵դޤ
516ڡ 0:29:04 40539

夫ޤƱξ礬5ĤäΤǧΤǡ褷Ȥޤ()
516ڡ 0:30:23 40540
algebra
ȥ⥨󤬣ΤȤ ̤
ȥ⥨󤬣ΤȤ ޤ̤ࣵ
ȥ⥨󤬣ΤȤ ޤߡޤϣޤࣹ̤
äơܣܣᣱ̤
516ڡ 0:35:51 40542

򤷤ȻפäƥӥǥƤޤorz
̾äƤΤǡʬʬʤޤ
裲롼ס 516ڡ 0:37:41 HomePage:40543

ޤä
ǽŪ˰ʬΤäƤޤ
ܿĻԡ 516ڡ 0:45:18 HomePage:̣λ40544
⡼ޥ
ä...ǸƱ㤤ʤ...^^;
㤡...3꤬ˤʤ뤫...
5C0+5C1+(2C1*3C1+1*2C1+1*1)=1+5+9
äΤ...Orz
516ڡ 0:54:24 40545

ǽ1ϻäƤʤȾƤʤ2ϻäƤƤäƤʤƤ⤤ĤȹͤSȤץ饹ϼФ塢ޥʥϼФ᲼˾ο񤤤Ƥ 1
1
1 5
1 4
1 3 9
1 2 5
S 1 2
Τ褦ʼɽΤǡ15915ˤʤޤ
516ڡ 1:16:26 40546
Mr.ǥ
򤱤Ȱ¿Ƥ顢줺̾äƤΤǡľޤʰʬξƤޤäƤޤ
Ʊߥ򤵤줿ͤ졢ʬŪˤϵߤ줿褦ʴǤ
516ڡ 1:18:44 40547
Ȥ
basicǿ뤫ɤ
ȥ⥨a,a1,a2,a3,a4,a5ޥb,b1,b2,b3,b4,b5Ȥ

let s=0
for a=7 to 7
for b=5 to 5
for a1=a-1 to a+1 step 2
for b1=b-1 to b+1 step 2
if (a1=a-1 and b1=b-1) or (a1=a+1 and b1=b+1) or a1<b1 then goto 90
for a2=a1-1 to a1+1 step 2
for b2=b1-1 to b1+1 step 2
if (a2=a1-1 and b2=b1-1) or (a2=a1+1 and b2=b1+1) or a2<b2 then goto 70
for a3=a2-1 to a2+1 step 2
for b3=b2-1 to b2+1 step 2
if (a3=a2-1 and b3=b2-1) or (a3=a2+1 and b3=b2+1) or a3<b3 then goto 50
for a4=a3-1 to a3+1 step 2
for b4=b3-1 to b3+1 step 2
if (a4=a3-1 and b4=b3-1) or (a4=a3+1 and b4=b3+1) or a4<b4 then goto 30
for a5=a4-1 to a4+1 step 2
for b5=b4-1 to b4+1 step 2
if (a5=a4-1 and b5=b4-1) or (a5=a4+1 and b5=b4+1) or a5<=b5 then goto 10
let s=s+1
10 next b5
20 next a5
30 next b4
40 next a4
50 next b3
60 next a3
70 next b2
80 next a2
90 next b1
100 next a1
110 next b
120 next a
print s
end

f9ơ15()
˭ԡ 516ڡ 2:19:40 MAIL:fttnm528@ybb.ne.jp 40548

ιǡƷä򸫤ơޤĤΥѥ̤Ȱ㤦ΤǤΥڡؤϤ⡩Ѥʲ̤ˤʤäƤޤޤ
ǽ飲ꤱ졢5ʬ餤äƤƱλäƤȤ˵դäޤɤƱѥääơ¿ʡˤޤ
516ڡ 5:43:24 40549
???
Υޥ
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)
a(n) = 1
While a(n) <= 2
If n < 6 Then
Call saiki(n + 1)
Else
Call check(1)
End If
a(n) = a(n) + 1
Wend
End Sub
Sub check(ByVal x As Integer)
Dim Masaru As Integer
Dim Tomoe As Integer
Dim dame As Integer
Dim j As Integer
Masaru = 6
Tomoe = 6
dame = 0
j = 1
While dame = 0 And j <= 6
If a(j) = 1 Then
Masaru = Masaru + 1
Tomoe = Tomoe - 1
Else
Masaru = Masaru - 1
Tomoe = Tomoe + 1
End If
If Tomoe < Masaru Then
dame = 1
Else
j = j + 1
End If
Wend
If dame = 0 And Masaru < Tomoe Then
Cells(1, 1).Value = Cells(1, 1).Value + 1
For j = 1 To 6
If a(j) = 1 Then
Cells(Cells(1, 1).Value, j + 1).Value = Str(j) + "ޥ"
Else
Cells(Cells(1, 1).Value, j + 1).Value = Str(j) + "ȥ⥨"
End If
Next j
Cells(Cells(1, 1).Value, 8).Value = Masaru
Cells(Cells(1, 1).Value, 9).Value = Tomoe
End If
End Sub
516ڡ 9:17:52 40550
abcba@baLLjugglermoka
#40549ʬ1ܤ20ޤ꡼ɤʤȤ˵Ȥ᤮ơǽ̤ʬξޤƤޤޤä򤭤ǤϤͤʴְ㤤򤹤ͤ¿⤷ޤ͡
516ڡ 9:31:01 40551
ϺĹ
ϤϤϡΤ褦ʿͤǤ⡢ƱߥǤ͡
ϡϡΥߥϤޤǤޤ񤯤餤פĤʤɤä顢ܤ餤ޤǽ񤭽Фˤʤäơѻ椬դˤʤ֤줸䡢ᤸˡ§Ǥͤ뤫פäƺ¤ľǤ礦͡ΤøϤĤޤǷФäƤ⼣ʤ
516ڡ 11:33:59 40552
uchinyan
Ϥˤϡơϡ
ࡤǽդ褯ʬ餺
示ۤʤ顤ܤϣ˴ؤŬѡܤϣ˴ؤŬѡΤȻפޤ
ݤʡȻפäΤǤ
ȡƲ˥ɤۤʤϳμ¤ˣ뤷ۤäоݤοǤʤȣ뤷
䤤ޡΣΥɤ٤Ƥޥ뤵󡢥ȥ⥨ΣͤۤäơΤ褦ʥԤޤ

ޤΥɤäƤϡܣäƤʤۤϡ
伡ˡΥɤäƤϡܣäƤʤۤϡ

Ȥˤϰ´äΤǡʸ٤ɤǤ뤦ˡ
٤Ƥۤ꽪äƤ顤Ȥ̣Ȥäʬꡤθϥࡼ˹Ԥޤ
äǤ (^^; ǡʴ

ƲΥåξԤιפϣѤʤΤǡ
ȥ⥨ʾξ礬꡼ɤ뤳ȤʤǡǸϣʾˤʤäƤ롤Ȥˤʤޤ
ǡˤơܣξϼФᱦˡݣξϼФᱦ˹Ԥϩͤξο񤤤Ƥޤ
ǤϤ񤯤ȿޤȤɽƤޤΤǡʵҤȤơ
ˤơܣξϼФẸˡݣξϼФẸ˹Ԥϩͤξο񤤤Ƥޤ
ȡ








ǡܣܣᣱ̤ꡤˤʤޤ
ͥνȡ 517ʶ 12:01:12 40553
ߤ
ʤߤΤ褦ʤǤ礦

ޥ
ܤ
ܤ
ܤ
ܤ
ܤ
ܤ

ɽŤ餤ΤǤܤ˥ޥ뤬ǥȥ⥨ξ
̤ꤢȤ̣Ǥ

θ塢ȥ⥨äƤΤ
ȥ⥨ξ礬̤ꡢξ礬̤ꡢξ礬̤

ף̤ꡢ

ĤΰʬϥȤʤȤȤǤ͡

516ڡ 13:52:38 40554
uchinyan
ǼĤɤߤޤ
ϼ㴳Υȥ֥뤬ä褦Ǥ͡ϡǸƱΤϺǽ餫鵤դƤޤ (^^;

ʬϤɤ褦ʡŪˤϡ
#40553Τ褦ʷϩ¿ʬޤȥ⥨γǤξʬ
Τ褦Ǥ
ޤ⾯ʤ⤢ΤǡϾάޤ
ͥνȡ 516ڡ 13:16:42 MAIL:uchi@sco.bekkoame.ne.jp 40555
Ԥ
ȥ⥨󤬾Ĥˤϥȥ⥨󤬥ޥ뤵ꥫɤ򤿤äƤɬפ뤿ᡢȥ⥨󤬻ĥɤοϣ,,Σ̤ꡣ
ξ碪̤
ξ碪ޥ뤵󤬣ΥɤľϤʤФʤʤᡢ61=̤
ξ碪ޥ뤵󤬣Υɤġ뤤ϣȣΥɤľϤʤФʤʤᡢ652(51)=9̤
ʾꡢܣܣ=15̤ꡣ
ݥζ֡ 516ڡ 13:52:38 MAIL:yeah_pika-pika-chu@ezweb.ne.jp 40556
Ȥ
#40552
>ɤä

μʬΥɤĹ
167960̤ꡦ()Ǥ礦
˭ԡ 516ڡ 14:29:13 MAIL:fttnm528@ybb.ne.jp 40558
ϺĹ
Ȥ⤵
ͤޤ̤Ȥ񤭹ߡޤ󡣸äѤʤǤɤʤȡϤޤʣˡʣˡʣˡʣˡ()ʣˡʣˡʣˤȤȤǡѻդǵϤ³ߤޤ󡢵§⸫Ĥ줺
Фʻ䡣ǥ꥿
516ڡ 16:38:47 40559
???
20ȡ167960̤Ǥ
516ڡ 17:25:30 40560
Ȥ
#40559

ŵĴ٤

A037952 C(n,[(n-1)/2])

1,1,3,4,10,15,35,56,126,210,462,792,1716,3003,6435,11440,24310,43758,92378,167960
maximaǡC(n,[(n-1)/2])binomial(n,floor((n-1)/2))
˭ԡ 516ڡ 17:43:15 40561
ϥ饮㡼ƥ
ݤȤ߹碌Ƿ׻Ǥ
516ڡ 19:37:43 HomePage:湩ؤ˥40562
hide
ƻ˿ޤ
ޥ뤵2ʲ
碪̤
碪飱ĤΣ̤
碪ʾ夫飲ĤΣ̤
ȣʾ夫飱ĤΣ̤
ף̤
517ʶ 3:24:50 40563
uchinyan
#40559#40561
C(n,[(n-1)/2])
¿ʡȻפޤ#40553ηϩˡǡƳȤǤ褦Ǥ

1 n οΥɤξǡ꡼ɤ뤳Ȥʤ
Ǹ˰ʬ˾ľο a(n) ̤ꡤʬο b(n) ̤ꡤȤޤ
n ȶξʬƹͤȡޤκ顤ޤ
a(2k+1) = 2 * a(2k) + b(2k)a(2k) = 2 * a(2k-1) - b(2k)a(1) = 1
ˡb(n) ϡޤι 0 ϥˤʤäƤ뤳ȤʬޤĤޤꡤ
b(2k-1) = 0b(2k) = (2k)Ck/(k+1) = (2k)Ck - (2k)C(k-1)
ǡ෸ꡤ
(2k)Ck = (2k-1)Ck + (2k-1)C(k-1) = (2k-1)C(k-1) + (2k-1)C(k-1) = 2 * (2k-1)C(k-1)
(2k)Ck = (2k+1)Ck - (2k)C(k-1)
դȡ
a(2k) = 2 * a(2k-1) - b(2k) = 2 * a(2k-1) - (2 * (2k-1)C(k-1) - (2k)C(k-1))
a(2k) - (2k)C(k-1) = 2 * (a(2k-1) - (2k-1)C(k-1))
a(2k+1) = 2 * a(2k) + b(2k) = 2 * a(2k) + ((2k+1)Ck - (2k)C(k-1) - (2k)C(k-1))
a(2k+1) - (2k+1)Ck = 2 * (a(2k) - (2k)C(k-1))
ǡ
a(2k+1) - (2k+1)Ck = 2 * (2 * (a(2k-1) - (2k-1)C(k-1))) = 4 * (a(2k-1) - (2k-1)C(k-1))
a(2k-1) - (2k-1)C(k-1) = 4 * (a(2k-3) - (2k-3)C(k-3)) = = 4^(k-1) * (a(1) - 1C0) = 4^(k-1) * (1 - 1) = 0
a(2k-1) = (2k-1)C(k-1)
a(2k) = 2 * a(2k-1) - b(2k) = 2 * (2k-1)C(k-1) - (2 * (2k-1)C(k-1) - (2k)C(k-1)) = (2k)C(k-1)
Ĥޤꡤ
a(2k-1) = (2k-1)C(k-1)
a(2k) = (2k)C(k-1)
ꡤޤȤȡ
a(n) = nC([(n-1)/2]) ̤
Ƚ񤱤ޤ

ʤߤˡΤˡ
a(6) = 6C([(6-1)/2]) = 6C2 = 15 ̤
a(20) = 20C([(20-1)/2]) = 20C9
= (20 * 19 * 18 * 17 * 16 * 15 * 14 * 13 * 12)/(9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1)
= 20 * 19 * 17 * 13 * 2
= 167960 ̤
ˤʤޤ͡
ͥνȡ 517ʶ 11:59:06 MAIL:uchi@sco.bekkoame.ne.jp 40564

ΤȤ˻פ֤ĩǤ
դ顢ȥ⥨Υɤϣ磵磴Σѥ
6c0ˡ̤
6C5ˡ̤ݣ̤
6C4ˡ̤ݣ̤ʥޥ뤵󤬣ȣˡݣ̤ʥޥ뤵󤬣äƤ
ȾǽΤ륫ɤƤȹ礻դʤȹ礻ΤΤȸǹͤޤ
517ʶ 13:17:00 40565
ʥ
Υɤ飲ǥޥ뤵ϤĤȥ⥨Ϥ
֤ۤäƤޥ뤵Υɤοȥ⥨¿ʤϥȥ⥨Ϥ
ƤΥѥ󤬽ФȻפޤ
518ڡ 11:12:45 40566
ʥ
ޤ
Υɤ飲ǥޥ뤵ϤĤȥ⥨Ϥ
֤ۤäƤޥ뤵Υɤοȥ⥨¿ʤαΥɤۤ
Ǹαɤȥ⥨Ϥ
518ڡ 11:23:12 40567
ʥ
ޤ
Υɤ飲ǥޥ뤵ϤĤȥ⥨Ϥ
֤ۤäƤޥ뤵Υɤοȥ⥨¿ʤαΥɤۤ
Ǹαɤȥ⥨Ϥ
518ڡ 11:30:03 40568

ޥ뤵Υɤ2ʲ
0硢1̤ꡣ
1硢1ʳΥɤˡ265̤ꡣ
2硢1ʳ5礫2ˡǤ23פ
Ȥ߹碌Ͻ5C219̤ꡣ

15̤Ǥ

519 16:26:00 40569