ޥ
̤®ˤӤäꡪäͭ̾ʤǤ礦
MacOS X 212ڡ 0:09:06 MAIL:masaru-y@kt.rim.or.jp HomePage:20522

ʤ

ʸ顦nѷˤĤ¿ѷ뤫
ɤߴְ㤨Ƥޤޤʤäऺ

̹ϡ(n-1)(n-2)(n^2-3n+12)/24Ǥ͡Ϥ
̤̪ 212ڡ 0:09:55 MAIL:kentaro@qa2.so-net.ne.jp 20523
ϣ
110C210C410
=14521010
=246
Ȥޤ
ȤܤǡǸ-10ȤΤȤƤޤɡ
Ųδۡ 212ڡ 0:11:55 MAIL:tora@ansas.org HomePage:Ver320524

TORAǰ٤ٶĺޤ
ɡϲ򤱤©Ҥޤ
֤⤦㤵λϽäʡפȸޤ
Ǥ⡢ĻλäƤä
äѤ餤ŷ񡡡 212ڡ 0:12:31 MAIL:hopes@mba.ocn.ne.jp HomePage:ȣϣУţ20525
ޥ
áޤä....դޤ裱󤢤ˤܼŪƱ...
MacOS X 212ڡ 0:13:13 MAIL:masaru-y@kt.rim.or.jp HomePage:20526
ϣ
#20522
߼6ļä(7Ĥä?)Ĥΰʬ뤫
Ȥ꤬फ˽ФƤޤ͡
βҥȤˤ⤤äΤ⡣
Ųδۡ 212ڡ 0:14:53 MAIL:tora@ansas.org HomePage:Ver320527
ߥƥ
Ȥʤͭ̾ι꤬ɺޤ͡
(̤ɤΤǤɡġ)

οΥȤõΤ˼ּäƤޤޤ(^^
ϻѷ25Ǥ뤳Ȥǧ4,11,25 Ǹ(
212ڡ 0:15:59 20528
CRYING DOLPHIN
פˡгܿ٤ȡظο٤ʬ䤵Τǡ

103ˡ1021041246

ָοפϡĤĺŬˣ
ޤ

#20527
ե
ƤǤ褦ʤνФ
ǯԥ奦ȡ 212ڡ 0:17:39 HomePage:θ³äƤɤΤ餤20529
ߤ
ؤǰ̼ʤ꤬ޤ빽ñʼ
ʤäΤǤޤ޳ФƤޤޤˤϿؤμȤΩĤʤ
212ڡ 0:18:53 20530
ʤ
οŵĴ٤Ƥޤޤ

̹ϡa(n) = nC4 + (n-1)C2Ȥޤ
ȡa(10) = 10C4 + 9C2 = 210 + 36 =246

̣Ϥ줫ͤޤǤ꤬ä褦ʡ
nC4 ˳Фޤ

̳ƻ 212ڡ 0:20:33 MAIL:naka@sansu.org HomePage:naka's Home Page20531
ϣ
#20531
줫ʡ
http://kurihara.sansu.org/sansu2/074.html
Ųδۡ 212ڡ 0:23:39 MAIL:tora@ansas.org HomePage:Ver320532
ѥ
Ǥ͡ФƤޱ礬ȤƥķפФޤ
˿ꡡ 212ڡ 0:24:50 MAIL:dr-yasu@nifty.com 20533
Ĺ
äȡۥƥ뤫Ĥʤޤ

http://www1.ezbbs.net/cgi/reply?id=yosshy&dd=17&re=12968
ȤǤ
Ƥ󤷤󡡡 212ڡ 0:24:59 HomePage:åȬ20534
Ĺ
#20534
ڤ줿
ǸޤǡڡȤƲ
Ƥ󤷤󡡡 212ڡ 0:27:30 HomePage:åȬ20535
ޥ
#20534
ʤ?װʹߤڤ㤦ͤʤǤʥƥкΤm(__)m
MacOS X 212ڡ 0:29:00 MAIL:masaru-y@kt.rim.or.jp HomePage:20536
n
֤ξƱ褦ʤǤ礦
212ڡ 0:48:54 20537
ȥȥ
٤ߤˤʤäơͷ򤱤ƤΤǤĤĤ˺Ƥޤޤ
٤줿Τǡ˹ͤ⤻ο󥵥ȤΤäˤʤޤ
ʼ˸лԡ 212ڡ 0:59:10 MAIL:h-sakai@zb3.so-net.ne.jp 20538
Ȥ
󥿡ͥå310Ǥ⤦鿴ԤǤʤǤ¿ʬ
ϰ̹ͭ̾ȻפޤŵĴ٤ޤ
ŵϻȤݤǤ
ŵɤߤޤΤ⤤Ⱥפޤ
ѸμܥܥˤʤޤɤݤΤ
(깤ǹʤޤ)ҤäƤߤǤ
ȤȤǤʤΤ褦ʰ̹
ͭ̾ΤΤǤʤΤʤ󤫤ǤƤȻפޤ
θ˭ԡ 212ڡ 1:02:05 MAIL:nm528@ybb.ne.jp 20539
n
#20537ͤʤ鿲ޤ
212ڡ 1:17:30 20540
ʤ
#20539 ŵ

οϤˤΤǤʡʹߤɬס
http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A006522

ѸȤؤ̵Τˤꡢο̾ΰ̣ǤޤǤ

4-dimensional analog of centered polygonal numbers.
Also number of regions created by sides and diagonals of n-gon.

ܤΰ̣ʤΤϤȤƤ褯狼ޤܤǤ
̳ƻ 212ڡ 1:18:11 MAIL:naka@sansu.org HomePage:naka's Home Page20541

䤷ƤǤ礦

¶ΰ
ǻդȤꤷƤޤäƤΤǤȤꤷȤˤʤޤ
ɤλܤгǸʤ̣ѷ˽г
ȡˤгΰդȤ뻰ѷ̶ѷȤ롣
ǤϡΤ褦ˤȤν¿ѷǤĤ뤫
̡׾⤢ΤǡΤ褦ΩʤǤ礦


ͤ褯äƤä˿󥵥ȡפȤϡ
ȥɥ쥹㤷ϥҥȡʡˤ򶵤ƲйǤ
ʥޥʡȿǤ

餷ޤm(_ _)m
̤̪ 212ڡ 1:21:48 MAIL:kentaro@qa2.so-net.ne.jp 20542
̾õ
ĤΰζΣľƤ
̤Σ˷ҤäȤΰϣĤʬ䤵졢
ΰθĿϣޤ1ܣ
̣¿ѷξŬѤƤߤޤ
ޤǽгȡäȤʬϣܣ
ܡʣܤΡˤгȡǺǽ¾ˤг
򺹤Сʸˤΰ̤1ȹͤơ
ǡʸ򺹤Ȥˡʬܣ
ᤫ餢ä¿ѷΣˤɤ夤Ȥˡܣޤ
ε򤹤٤ƤгˤĤƷ֤ޤȡ
٤ƤгäȤ
ʬᣱггƱΤθ
ˤʤۤޤ
̣¿ѷгƱΤθϺǡʣܰʾг
뤳ȤϤʤǡˣĤĺ飴Ĥĺ
Ȥ߹碌ãˤʤޤʣѷȤ˸Ľޤˡ
̣¿ѷгϣʣݣˡˤʤޤ
ǤդΣĺгοϼȤξ٤ĺ
ݣܤǤˡ
äơ
ʬ1ܣʣݣˡܣã
(1)ãܣã
ᣱΤȤãܣãᣳܣ

212ڡ 7:38:49 20543

Ȥꤢˤơѥ׻ޤ
212ڡ 8:09:38 20544
ȥȥ
#20542
̤̩ǤⲿǤʤǤ衣
ξȲΥڡǿΰϤenter򲡤ȸ䤬ɽޤ
http://www.research.att.com/~njas/sequences/
ʼ˸лԡ 212ڡ 9:54:35 MAIL:h-sakai@zb3.so-net.ne.jp 20545
M.Hossie
Фˤ㡣ǽäƲ򤳤ȤޤɤΤǡˣѷ񤤤ƿϳ¤äƤ褷Ǥ⡢ɤ구ȤʤΤ椬षְ㤤ޤ

#20519
餷ʴκʤơޤ˥ޥ˥åؤŪ˽ꤹʤΤǡϳФʤäƤǤ
ζҤְäơ֤ߤʴפäƳФƤޤ餺Ȥɤ󤫤餸ֻᤱ衢ӤФΤΤפäƲƣ㤬Ф褽Ǥޤ
˿ꡡ 212ڡ 11:13:05 20546

#20545
ȥȥΤ󶵤Ʋͭ񤦤ޤm(_ _)m
ǤͤΥȡ
̤̪ 212ڡ 11:52:52 MAIL:kentaro@qa2.so-net.ne.jp 20547
kasama
ˤϡϲҤ٤ߤäΤǺäƤޤ^-^񤷤äǤꥢ륿ǤäƤīޤǺǤ⤷ޤǹͤƤޤɤ⤦ޤ̲Ǥɡޤƿ夲ޤǧǤ
²λ 212ڡ 14:36:04 MAIL:kasama@s34.co.jp 20548
ȤޤԤ
򤿤ƤƲ򤭤ޤn=4,5,6ǹԤޤ

̡ʣΡݣ˳ѷˡ˰ạ̈γѷĤ롣
Τ鿷гʣΡݣܰΤǡΤȤ˿ˤǤ̤οϡ{k(n-2-k)} + (n-3) +1 Ȥʤ롣 ( k=1 to n-3)
줫򤿷׻(n-1)(n-2)(n^2-3n+12)/24Ƴޤ
ϵǤդ
ͤν񤭹ߤҸƤȡǤͤ
212ڡ 19:03:42 MAIL:y-tomari@zd5.so-net.ne.jp 20549
ȥȥ
#20547
ɤޤơȤ٤ȤǤ
˿Ͽ֤ͭǤ͡
ʼ˸лԡ 213ʶ 2:07:35 MAIL:h-sakai@zb3.so-net.ne.jp 20550
ۤ
#20541
polygonal numbersϣѿѿΤȤǤ͡
Ϥ򻰳ѷ˥ԥߥåɤ褦¤٤ȣġġġ줬ѿ
դĹĹʤ褦¤٤ȡġġġ줬ͳѿ

centered polygonal numbersϡͭѿȤΤʡʻۤȤ̾Ϥʤ
ѷҤȤޤ礭Ƥ᡼Ǥ
ǽ1ġΤĤˤ˻İ礭ʻѷ6
Ĥ ˻İ礭ʻѷơ15ġ
ȤΤǤȡ󥿡ͥåȤĴ٤ޤ

4-dimensional analog褯狼ʤanalog
analogΰ̣狼ʤǤ
̤αȡ 213ʶ 10:56:54 MAIL:micci@sansu.org HomePage:ߤäα20551
̾õ
#20541
Ʊ¿ѿΣС٤ΰ̣Ǥ礦
ƱˣѿΣСȹͤʡ
οtetrahedral numberˤˤĤƤϡ
1/6*ʣ+1ˡʣ+2
ȤΤ󥿡ͥåȤˤޤ
213ʶ 17:55:58 20552
Ϥʤ
̾õ夵ΤääƤ봶ᤤΤǤϤʤǤ礦
4-dimensionalanalog

ŪˡnΥѥŪʤΤn-dimensionalanalogäƤޤ͡ǤanalogϡanaloggameפѤanalogƱǤ

4-dimensionalanalog
http://www.geocities.com/ResearchTriangle/System/3517/tictac4d/tictac4d.html
롼ϤФ餯Ф狼ޤԥ塼Υ٥뤬100%Ǿä餽οͤ⤯˥塼ͥåȤǤ礦
213ʶ 18:16:47 20553
Ȥ궵
#20541
ͭ¿ѿλͼŪ̩򡢤줫nѷդгϤФΰ
214ڡ 1:28:33 20554
ۤ
analog ȤΡΰ̣˺īĤޤ
HPߤ顡񤭹ޤƤޤ^_^;

analogsimulationΰ̣Ǥ͡Ʊ褦ġ̤ʸݤ
äŪȤΤõ롡ȤСǮƳĴ٤Τˡϳ
򸦵椹ȤưĴ٤ΤˡŵϩȤȤŪŪʹ¤狼äƤΤ򡡤ʿŪϷ
ȤäƲ򤯤Ȥʰѡȡؼŵ
Ĥ錄ˤϡʡʤޤ路Ǥޤ(^_^;)

顡ǥ롡Ȥ褦ʰ̣ǤΤǤ͡
¿ѿ򣴼ǹͤȤΤŪϷǹͤ櫓

ǡ¿ѿϸĤޤ¿ΤǤ͡
Ρ¿ѿϲǤ硩
̤αȡ 214ڡ 8:29:05 MAIL:micci@sansu.org HomePage:ߤäα20555
ϥ饮㡼ƥ
ä줿
ޤ񤤤ְ㤤ФꤷƤ
10ѷȤϿ뤳Բǽ
#20545ƱǤ
̶彣 214ڡ 9:48:51 HomePage:ϥ饮㡼ƥ湩ؤ˥20556
ˤ
ϫƤäȣˤɤĤޤä⤷ޤ
ʤդ˹ͤޤ
ѷ£ãģţƤλ
ˣ飳гԡ
ˣ£Ĥԡդ
ˣ£Ťԡդ
ˣ£Ƥԡդ

ˣãŤԡդ
ˣãƤԡդ

ˣģƤԡդ
äƣѷλϣԡ

nĤλԡϡn1˸Ĥդ

ѷ£ãģţƣǣȣɣʤλ
ˣ飷гԡ
ˣ¤飷г
οϣԡդ
ˣä飶г
οϣԡդ
ˣĤ飵г
οϣԡդ
ˣŤ飴г
οϣԡդ
ˣƤ飳г
οϣԡդ
ˣǤ飲г
οϣԡդ
ˣȤ飱г
οϣԡդ

äƣԡ
214ڡ 16:36:54 20557
ʸ



10-3+1=8

8+(2+8)*7/2+(3+13)*6/2+(4+16)*5/2+(5+17)*4/2+(6+16)*3/2+(2+13)*3/2+8
=8+35+48+50+44+33+20+8
=246
ʤ

246+10=256=16^2

󡢤ʤ󤫤ꤽ
դä񡡡 215 10:12:55 HomePage:ʸ20558
⡼ޥ
աáäȤϤ줿
(7+1)+(7+6+5+4+3+2+1+7)+(2(6+5+4+3+2+1)+6)+(3(5+4+3+2+1)+5)+(4(4+3+2+1)+4)+(5(3+2+1)+3)+(6(2+1)+2)+(7+1)=246

̾õ夵ιͤˤϷǤʤʤפĤʡ
215 16:26:41 MAIL:kennji72001@yahoo.co.jp 20559
Ķ伡Ϻ٤
פ֤ǤǼҥǡҤʬǤ͡
ɡ(10C2-10)+10C4+1+246Ǥ礦
гܿ+ο+Ϥ1
216ʷ 12:33:09 MAIL:77777@be.to 20560