kasama
Ƥ80ʸϤ褯ɤȡأĤοѡ٤Ǥ
127ڡ 0:07:23 37285
㡼ߡ
¤θߤˡŸȳƹब٤ĽФƤ׷
ǤʡͽۤϤǤޤθϽƸޤ
ؤؤοء١ 127ڡ 0:12:49 MAIL:xlogx-x@eco.ocn.ne.jp 37286

̤Ĵ٤ޤ줿
1*2*(3+4+5+6+7+8)=66
1*3*(4+5+6+7+9)=93

8*9*10=720
Ȥ­ޤʤѡ

쥬Ȥʲˡ꤬ͤưƤޤޤ
ޡ 127ڡ 0:15:33 HomePage:37287
3.5
ͤ񤭽ФǤ
ȡ 127ڡ 0:17:09 37288
Ѥ
55^3-(55*385*3-3025*2)-110*44*6

򣶤dzޤ׻ߥäѤޤ
Ĥޤդޡ 127ڡ 0:25:39 HomePage:Ĥä37289
ݤä
˴ؤƼΤȤΩĤ褦Ǥ

1nޤǤο3ĤӡѤ¤
((n+3)C2)*(n+3)C4)ˤʤ

äƤߤäǤ
127ڡ 0:25:40 37290
㡼ߡ
A : 1,10 / B : 2,9 / C : 3,8 / D : 4,7 / E : 5,6
ȥ롼ʬ롣
1 ĤΥ롼פ 2 ĤȤǤޤ 11 ǤƤޤŬ

A, B, C 1 Ĥ֤ȤѤϡ
(1+10)(2+9)(3+8) ŸȤγƹȤɽΤǡ
¤Ͼ 11^3

롼פȹ礻 5C3 ̤ꤢ뤬ɤξƱͤ¤ 11^3
ȤʤΤǡ 11^3 x 5C3 = 13310
ؤؤοء١ 127ڡ 0:25:46 MAIL:xlogx-x@eco.ocn.ne.jp 37291
Ѥ
#37291
ñ˵줿ΤǤ͡
(1+2+3++10)(1+2+3++10)(1+2+3++10)
١˹ͤƤޤ
Ĥޤդޡ 127ڡ 0:30:51 HomePage:Ĥä37292
ݤä
#37291

˴ư!
127ڡ 0:33:29 37293

#37291
ȤǤ͡
ưޤ
¤˴ưޤ
127ڡ 0:38:07 37294
㡼ߡ
ʤߤˡ3 ġפ1 İʾפѤȡ
(1+1+10)(1+2+9)(1+3+8)(1+4+7)(1+5+6)-1 = 12^5-1
ĤǤ褤Τʡ
(Υ롼פ鲿ФʤȤ "1" Ǥ)
ؤؤοء١ 127ڡ 0:46:14 MAIL:xlogx-x@eco.ocn.ne.jp 37295
⡼ޥ
ä...^^;
11=1+10
=2+9
=3+8
=4+7
=5+6
Υ롼פ飳Ĥο٤ɤ...
xyz
x=(1,10) or (2,9) or (3,8) or (4,7) or (5,6)...11*5
y...11*4
z...11*3
xyz...11^3*5*4*3/3!=11^3*10=13310
Ǹ3! dz뤳ȤˤʤʤŤ...^^;;...
127ڡ 1:00:08 37296
NY
ޤξʣĤο¤ˤʤʤ褦ˡˤ̵뤷ˤĤƣĤοѤιפơ風ξƤϤޤ祱ˤĤƤΣĤοѤιפҤƤߤޤ

ʾʤ

ʦʣݣˣᣱ to ݣˡߣߡʣݦʣˣᣱ to ˡᣲ to


¤ˤʤ룲Ĥο륱

ʣߣܣߣܣߣܣߣܣߣˡߡʣݣ


äơݣᣱ

Ǥ⡢ɤϵ̤Ĵ٤ۤ᤯򤱤ޤ
127ڡ 1:09:32 37297
NY
37291βˡϤ狼䤹Ǥ͡
ʬѤ
127ڡ 1:22:30 37298
⡼ޥ
#37291
ä...㡼ߡιͤ狼䤹äǤ͢
127ڡ 9:02:51 37299
???
Option Explicit
Sub Macro1()
Cells(1, 1).Value = 0
Cells(2, 1).Value = 0
Dim a As Integer
Dim b As Integer
Dim c As Integer
For a = 1 To 10 - 2
For b = a + 1 To 10 - 1
If a + b <> 11 Then
For c = b + 1 To 10
If a + c <> 11 And b + c <> 11 Then
Cells(1, 1).Value = Cells(1, 1).Value + 1
Cells(Cells(1, 1).Value, 2).Value = a
Cells(Cells(1, 1).Value, 3).Value = b
Cells(Cells(1, 1).Value, 4).Value = c
Cells(2, 1).Value = Cells(2, 1).Value + (a * b * c)
Range("B" & Cells(1, 1).Value).Select
End If
Next c
End If
Next b
Next a
Range("A2").Select
End Sub
127ڡ 9:08:11 37300
uchinyan
Ϥˤϡơϡ
ࡤʤʤդޤǤɤʴǡ

1 10 ο¤ 11 ˤʤĤĤθޤĤΥڥ (1,10)(2,9)(3,8)(4,7)(5,6) ʬޤ
դˤϡƥڥǤϥʤΤǡĤΥڥdzƥڥĤ֤Ȥˤʤޤ
ΤȤ㤨С(1,10)(2,9)(3,8) 硤
(1 + 10) * (2 + 9) * (3 + 8)
= 1 * 2 * 3 + 1 * 2 * 8 + 1 * 9 * 3 + 1 * 9 * 8 + 10 * 2 * 3 + 10 * 2 * 8 + 10 * 9 * 3 + 10 * 9 * 8
ʤΤǡ(1 + 10) * (2 + 9) * (3 + 8) ϡλĤγƥڥĤĻĤοοѤ¤ˤʤäƤޤ
ơ(1 + 10) * (2 + 9) * (3 + 8) = 11 * 11 * 11 = 1331 Ǥ
¾λĤΥڥǤƱͤǡѤ¤ϡϤꡤ1331 Ǥ
ǡĤΥڥ֤Τ 5C3 = 10 ̤ꡤʤΤǡѤ¤ 1331 * 10 = 13310 ˤʤޤ

ǽϤʤʤפդʤäΤǡŪѤ¤񤭽ФƤäơ
֤ơäƴñ˷׻ǤʤΤʡפȼ򤷤ФʤƤΤǤ
(1 + 10) * (2 + 9) * (3 + 8) ʤɤѷǤ뤳Ȥ˵դơAha!פȤǤ (^^;
ͥνȡ 127ڡ 16:25:29 MAIL:uchi@sco.bekkoame.ne.jp 37301
hide
¤11ΥȤ߹碌ǹͤƤΤˡƤΥǹͤƤȤ
ȡࡡ 127ڡ 11:52:54 37302
uchinyan
ǼĤɤߤޤ

#37286#37291#37296#37301#37302
1 10 ο¤ 11 ˤʤĤĤθޤĤΥ롼 (1,10)(2,9)(3,8)(4,7)(5,6) ʬƹͤˡ

#37287#37288
ƻĴ٤ˡ

#37289#37292#37297
ޤ¤ 11 Ȥƹͤ줫¤ 11 ˤʤΤˡ
׻λξܺ٤ˤϡ㴳ΥХꥨ󤬤褦Ǥ

#37300#37305
ץˤˡ

#37304
Ȥꤢ80̤ʤΤưס
ǡʿѤ5.5ΣĤȹͤޤ
Ȥˡ5.5 = 11/2(11/2)^3 * 80 = 11^3 * 10 = 13310ȤǤ礦
̩ˤϤ⤦ɬפʡȤפޤʤʤ򤤹ͤȻפޤ

ʤ

#37295
ʤߤˡ3 ġפ1 İʾפѤȡ
(1+1+10)(1+2+9)(1+3+8)(1+4+7)(1+5+6)-1 = 12^5-1
ĤǤ褤Τʡ
11 * 5C1 + 11^2 * 5C2 + 11^3 * 5C3 + 11^4 * 5C4 + 11^5 * 5C5
= (11 + 1)^5 -1
= 12^5 - 1
ʤΤǡȻפޤ

#37290
䤳˴ؤƼΤȤΩĤ褦Ǥ
1nޤǤο3ĤӡѤ¤
((n+3)C2)*(n+3)C4)ˤʤ
ĥȤʬʤ
㤨С1 3 ǻȤѤ¤ 6 Ǥ6C2 * 6C4 = 15 * 15 = 225 ˤϰפޤ󤬡
ʣƻ֤Ǥ⡤90 פʤ
ͥνȡ 127ڡ 17:16:21 MAIL:uchi@sco.bekkoame.ne.jp 37303
ߡ
Ȥꤢ80̤ʤΤưס
ǡʿѤ5.5ΣĤȹͤޤ
127ڡ 12:23:46 37304
ϥ饮㡼ƥ
ץǤˤĤƤ⴨³ޤ
127ڡ 14:45:59 HomePage:ϥ饮㡼ƥ湩37305
uchinyan
JMOͽΥܡ 8 äȤ
ǯϰפᤫʡȤϻפäΤΡ8 Ȥ϶äʹϤäˤʤơǤϤʤΤʡ
ͥʿͤ¿äΤʤ
ͥνȡ 127ڡ 17:23:06 MAIL:uchi@sco.bekkoame.ne.jp 37306

ܡ2002Ǥ͡
ȤäƤ20021211ǤƤǤɺϺǹ10κ8ʤ櫓

Ⱦǥߥ򤹤ȤåȤˤʤäƤޤ͡

127ڡ 18:14:35 37307
ݤä
䤳˴ؤƼΤȤΩĤ褦Ǥ
1nޤǤο3ĤӡѤ¤
((n+3)C2)*(n+3)C4)ˤʤ
䡩ĥȤʬʤ
㤨С1 3 ǻȤѤ¤ 6 Ǥ6C2 * 6C4 = 15 * 15 = 225 ˤϰפޤ󤬡
ʣƻ֤Ǥ⡤90 פʤ

Ĥޤ
((n+1)C2)*(n+1)C4)Ǥ
127ڡ 18:46:03 37308
⡼ޥ
#37304 ؤޤ...^^
ĤĤΣ롼פ飳Ĥο=2^3*5C3=80
ɤοʿŪ˽иΤ..(1+2+...+10)/10=5.5=11/2
(11/2)^2*80...ǤΤ
򤤤Ǥ Orz~v
127ڡ 20:40:42 37309
λȼ
ȤäƤ⡢ȤäƤ⤪פ֤Ǥ
פ֤ơޤڤߤäƤޤ
ĥĤȷ׻СĤϲ򤱤ơη̤Ի׵Ĥ˴ư롣
Ҥ顢׻ǡȤǤޤϡܿȻפǰʬ򤷤Ƥߤ顢Ȥʤޤ
ġơΤ
ǼĤäƳβҸơ餷ġ
äޤ¤ˤʤͤΤġ
⡢ơʤ˿ͤưƳƤʤޥ뤵Ǥ(ѥѥġˡ
꤬Ȥޤ
äȡꥢ륿Ū̵ʤΤǡ󥹤ä顢ޤ餻Ƥ
夫顢äΥƤǤ⥨å顢åĤƻޤ
zerostar in Tokyo 128ʶ 7:29:13 37310
ֿء׾ι
£ӣɣäǤޤ

LET n=0
LET s=0
FOR i=1 TO 8
FOR j=i+1 TO 9
FOR k=j+1 TO 10
IF(i+j<>11) THEN
IF(i+k<>11) THEN
IF(j+k<>11) THEN
LET s=s+i*j*k
LET n=n+1
END IF
END IF
END IF
NEXT k
NEXT j
NEXT i
PRINT s,n
END
128ʶ 12:21:39 37311
uchinyan
#37308
((n+1)C2)*(n+1)C4)Ǥ
ʤۤɡʤǤ͡ʤ줤ʷˤʤΤ
ͥνȡ 128ʶ 12:26:09 MAIL:uchi@sco.bekkoame.ne.jp 37313
ֿء׾ι
#37308
> ((n+1)C2)*(n+1)C4)Ǥ
ͤƤߤޤ狼ޤ
ߤޤ󡢶Ʋm(__)m
128ʶ 12:27:51 37314
abcba@jugglermoka
ͤ3ĤοƱ1Ĥξ(ߤ˰ۤʤ)ȹͤ롣
(12.....N)^(3)Ʊ3ĤξƱ2Ĥξ3ܤ6dzФ褤ǡƱ2Ĥξ3ܤ3C2(¤ؤ)αƶǤ롣Ʊ3Ĥξ3C3=1ʤΤ1ܡƱĤξ3!=6ܡ

Ʊ3Ĥξ碪(1^(3)2^(3)....N^(3))
Ʊ2Ĥξ碪(1^(2)2^(2)....N^(2))(12....N)(1^(3)2^(3)....N^(3))
ʤΤǡ
(12.....N)^(3)(1^(3)2^(3)....N^(3))1{(1^(2)2^(2)....N^(2))(12....N)(1^(3)2^(3)....N^(3))}3͡6
=(N(N1)/2)^(3)(N(N1)/2)^(2)1{(N(N1)(2N1)/6)(N(N1)/2)(N(N1)/2)^(2))}3͡6
=(N^(2)(N1)^(2)/48)(N(N1)42(2N1))
=(N^(2)(N1)^(2)/48)(N1)(N2)
=(N(N1)/2)(N(N1)(N1)(N2)/24)
=((n+1)C2)*(n+1)C4)

äȥ쥬ȤʵꤽǤ.....

128ʶ 18:33:41 37315
ֿء׾ι
꤬ȤޤʤۤɤǤ

> äȥ쥬ȤʵꤽǤ.....

ȤǤ͡ΤȤߤˡޤͤȡʤǤơȤ
128ʶ 19:01:52 37316
󤵤
#37315
ʤۤɤͤ
˰̣ŤǤΤ⤷ޤ󤬡ˤϤ褯ʬޤ
(n+1)C2*(n+1)C4
=n(n1)/2 * n(n1)(n1)(n2)/24
=(n)^2 * (1+2+3+...+(n-2))/3!
ȹͤΤʤ
128ʶ 19:38:07 37317
ֿء׾ι
ե꡼οեȤǤ
xmaximaפäơǤ

(%i3) nusum( nusum( nusum(i*j*k,k,j+1,n),j,i+1,n-1),i,1,n-2);

2 2
(n - 2) (n - 1) n (n + 1)
(%o3) ---------------------------
48
äơ˷׻Ƥޤ
ΰ̣ŤϤäѤ狼ޤ
129ڡ 10:02:30 37318
cyclone
ʤɬ˿夲ʤν񤭹ߤˤơ
β򸫤ٶޤ
129ڡ 18:23:08 37319
粬ҹ
⥺ХץǤʡǶϥѥ˿֤ޤŪˡDz򤯤ȤʤʤäƤޤʿŪˡǤ
131ʷ 19:16:18 37320