٤¤㡢ᡩ
38ڡ 0:18:12 29509
Taro
Τ褦ʴطˤʤΤˤĤơؤ㤤2ͤΰ֤Ǿ櫓ʤʤޤ
2ܤޤߥorz
38ڡ 0:21:27 29510

˲򤭤ޤ
ޥ뤵󡢥ȥ⥨󡢥ޥҥĥ襷Υ֥業᥽
̾Ťʼʤ̾ϺǸޤɤǤʤ
ȤϹ⤤ۤ°룳Ȥ߹碌ɬ˿ޤ
ʣˢ̤
ʣˢ̤
ʣˢ̤
ʣˢ̤
ʣˢ̤
Ƶսޤƣܤƣ
褽140٤餤 38ڡ 0:27:59 29511
㡼ߡ
61 Ȥ򸫤ƥ顼 (̾ΤΤʣꤽǤ)
פФޤ (˺ޤ)Ĵ٤Ƥߤ
1 1 5 61 1385 50521 2702765
ǻϤޤΤ褦ǡ줬οͿ̤ 2n ͤ˳ĥ
ͤˤʤäƤ뤽Ǥ
(꼫ΤϤߤĤ֤Dz򤭤ޤ)
𡡡 38ڡ 0:33:09 MAIL:ojamaru@amber.plala.or.jp 29512
㡼ߡ
Τˤ ͤȾʬ Ǥ͡
ʤ"Euler zigzag 61" ǸѸΥȤФƤޤ
𡡡 38ڡ 0:45:34 MAIL:ojamaru@amber.plala.or.jp 29513
ޥ
Ǥ˿ܡʼѤǤϤޤ...ˤ˺ܤäƤΤ򻻿˥󥸤ΤǤꤷƤϡϤȤΤǤȤϤߤĤ֤Ȥɤ餬ᤤϤä̯Ǥ..

ȤǡäƤˤդȡ֥äܸʤפȤʤפäĴ٤顢zigzagפѸȤȤ˽Ƶդޤ빽֤ؤ٤⤤ȻפǤǤ礦Ѹ줬ǽ
PowerBook 38ڡ 1:01:02 MAIL:masaru-y@sansu.org HomePage:29514
missk
ˤĤƤϹ⤤㤤⤤㤤⤤ν뤳Ȥܤޤ
⤤16ֹĤޤ
⤤ʬȤ߹碌
(1,2,3)(1,2,4)(1,2,5)(1,3,4)(1,3,5)(1,4,5)Ȥ߹碌ΤߤǤ
(1,2,3)
ξ¾3ĤοɤƤ⤤Τǡ
321322=72̤
(1,2,4)
ξ4褿ˤϡ3ϳ¦ˤʤ
ξ222=8̤
¾4Ĥξˤϡ3¦1,2δ֤ˤ礬
4121+4221=24̤
פ32̤
(1,2,5)
ξϡ5Ⱦʤ
ʳ4̤ˤĤƤϡ5Ȥ⤦1Ĥοδ֤6뤳Ȥˤʤ
4122=16̤
(1,3,4)
ξϡ12뤳ȤǤʤΤԲ
ʳǤϡ21γ¦뤳Ȥˤʤ
ä412=8̤
(1,3,5)
ꤦ¤Ӥ(1,3,5)(1,5,3)(3,1,5)(3,5,1)(5,1,3)(5,3,1)Ǥ뤬
ΤǽΤ(1,3,5)(5,3,1)ΤߤǤ
ΤȤ2,1,4,3,6,55,6,3,4,1,2¤ΤߤȤʤ
ä2̤
(1,4,5)
ξϾͤΤϤʤ
ʾ夫
72+32+16+8+2=122
Ͼγڱࡡ 38ڡ 1:02:42 MAIL:jjyhr530@yahoo.co.jp 29515
missk
#29514
ܸǡɥäƸޤ?
䡢θʹȤΤǤ
¾ˡΤ褦ʸդäƤޤ?
Ͼγڱࡡ 38ڡ 1:04:51 MAIL:jjyhr530@yahoo.co.jp 29516
Ȥ
basicǰʲǤ

FOR a=1 TO 6
FOR b=1 TO 6
IF b=a THEN GOTO 80
FOR c=1 TO 6
IF (c=a) OR (c=b) OR ((b>a) AND (b<c)) OR ((b<a) AND (b>c)) THEN GOTO 70
FOR d=1 TO 6
IF (d=a) OR (d=b) OR (d=c) OR ((c>b) and (c<d)) or ((c<b) and (c>d)) THEN GOTO 60
FOR e=1 TO 6
IF (e=a) OR (e=b) OR (e=c) OR (e=d) OR ((d>c) and (d<e)) or ((d<c) and (d>e)) THEN GOTO 50
FOR f=1 TO 6
IF (f=a) OR (f=b) OR (f=c) OR (f=d) OR (f=e) OR ((e>d) and (e<f)) or ((e<d) and (e>f)) THEN GOTO 40
PRINT a;b;c;d;e;f
40 next f
50 next e
60 next d
70 next c
80 next b
90 next a
END
˭ԡ 38ڡ 1:45:21 MAIL:fttnm528@ybb.ne.jp 29517

Ĺ羮ط򡡡䢤Ȥ
ͤ򣳿ͣͤʬȢˤʤ褦¤٤ƹΤ
ʹΡˢ ǽʤΤϣ̤
ؤƹΡʹΡˢ ǽʤΤϣ̤ꡡ
äϣܣᣱ̤
38ڡ 6:06:48 29520
ϥ饮㡼ƥ
Ϥ褦ޤ
MATLABˤץǤäƬȤޤ
Ǥ
38ڡ 8:19:49 HomePage:湩ؤ˥29521
ޥ
Τ餻

ääǤǣΣ̡ʸˤ˹ԤȤˤʤޤǡͼȤݤ߲ʥեߡˤ򳫺Ť褦ȻפäƤޤФҡ

# ʴءˡ֤ʤǥեߤʤפȻפ⤤ä뤫Τޤ󤬡¤Ϥä夦äƤꤷޤݤǤߤפȤϥᥤ򤤤йǤ
iMac 38ڡ 10:35:09 MAIL:masaru-y@sansu.org HomePage:29523
ޥ
ꤷƤˡ...ʿ夲ΤۤᤤȤͤ⤤ä㤤Ǥ...

ؤι⤤ޥ뤵󤬤ɤ뤫ǾʬƷ׻Ƥޤͤ¤ˡn̤Ȥȡ

65511ʣ4ˡߣ52ʣ2ˡʣ3ˡߣ

ȤΤǤä̵ޤ...m(__)m
PowerBook 38ڡ 11:35:04 MAIL:masaru-y@sansu.org HomePage:29524
uchinyan
Ϥˤϡơϡࡤˤ񤷤ä
ս񤭡ҥȡ餷ơߤȤơͤξ祸ѥϡ
ߡߡߡߡߡ
ʤ櫓ǤǽΤ򱦤鸫ȣܤƱʤΤǡ㤨СǽξƣܤФȤʬޤ
ޤǽΥѥϡߡߡߡ ȹ礻ȹͤȣͤξ硤ɤ 2̤ꡤιʤΤǤޤ뤫ʡȻפޤ
ǡ§Ĵ٤Ǥ⥳ĥĽ񤭽ФƤäΤǤޤˡĤˤ٤ƽ񤭽ФƤޤޤ
ͤιȹͤƤ⡤ɬ 2̤ꤺ ˤϤʤʤǤ͡
ɡ ߡߡߡ 61̤ ǡߡߡ 碌ȣܤơ61 * 2 = 122 ̤ ˤʤޤ
ͤȿͿʤƤ褫äȤΤܲǤ (^^;
ɤ褯ʬʤΤǡޤˡϷǼĤɤٶޤ
ͥνȡ 38ڡ 11:41:44 MAIL:uchi@sco.bekkoame.ne.jp 29525
ʤ
̲٤ˤˡͤƤߤޤ

1,2,...n 򡢾羮硦ν¤٤뤳Ȥͤ롣
Ƭ m ΤȤ a(n,m) ̤¤Ȥ롣
a(n,n)=0 Ǥ롣

m=1 ξ硢
Ĥ n-1 ĤˡƵս 1n-1 ֹ򿶤ʤȡϸηˤɤꡢ
a(n,1) = a(n-1,1) + a(n-1,2)...+ a(n-1,n-2) + a(n-1,n-1)

m=2 ξ硢Ʊͤˡܤ¤٤ʤҤȤĤΤǡ
a(n,2) = a(n-1,1) + a(n-1,2)...+ a(n-1,n-2)

ʲƱͤˡm=1..n-1 ˤĤơ
a(n,m) = a(n-1,1) + ...a(n-1,n-m)(1)

n=2 ΤȤ¤{1,2}ΤҤ̤ a(2,1)=1
(1) ˤꡢº a(n,m) ɽϰʲΤȤꡣ

ᣲʣᣱбơʲƱ͡ˡ






ʾˤꡢa(6,m) = a(7,1) = 61

­n=6,m=3

羮硦¤٤ΤˡƬξ硢
Ĥ룵ġ羮羮ν¤٤Ф褤
礭ˣֹ򿶤ʤȡʤäϤȤֹ
ʣ,ʣ,(,ʣ,ʣˤȤʤ롣
ֹǡ羮硦¤٤˵夷
ͤƬȤƣʾʤȤֹ棲ʲˤŬ
ơa(6,3) = a(5,1)+a(5,2)+a(5,3) Ȥʤ롣
38ڡ 12:36:20 MAIL:naka@sansu.org 29526
uchinyan
ǼĤɤߤޤ

#29509#29510#29511#29512#29515#29520#29525
¿ʬ夲Ϳޤ¿ʤ顤ƻʤ줬֤⤷ޤ

#29512#29513
61 Ȥ򸫤ƥ顼 (̾ΤΤʣꤽǤ) פФޤ (˺ޤ)
ؤΤʤä
ʤߤˡƸĤŤʡܸΥȤǤ
http://homepage3.nifty.com/y_sugi/gf/gf17.htm

#29514
zigzagפѸȤȤ˽Ƶդޤ빽֤ؤ٤⤤ȻפǤǤ礦
Ѹ줬ǽ
ѸϴǽǤʤǤʤǤzigzagפѸȤȤΤäƤޤåإ ^^
#29516
䥸ܸǡɥäƸޤ?
Ļ­ΡĻס֥ɥפʡ

#29517#29521
ץࡣʤгΤ˴ñ

#29524
䤤ꤷƤˡ...ʿ夲ΤۤᤤȤͤ⤤ä㤤Ǥ...
䡡ؤι⤤ޥ뤵󤬤ɤ뤫ǾʬƷ׻Ƥޤͤ¤ˡn̤Ȥȡ
65511ʣ4ˡߣ52ʣ2ˡʣ3ˡߣ
ʤۤɡޡߤȤơ

ŪĴ٤
A1 = 1, A2 = 2, A3 = 4

A4 ϡͤξǡߡߡ ߡ ǽǤ
ߡߥ + ޡߡ
оꡤߡߥ ޡߡ ξοƱ
ơߡߥ ϡްʳϣͤξ ߡ ߡ Τ ߡ Ǥ
ߡ ξο ߡ ξοϡºݤĴ٤ 2̤ꤺ Ǥ
äơߡߥ ϡA3/2
ɡ
ߡߥ + ޡߡ ---> A3/2 * 2 = A3
ߥޡߡ ߥޡ
оꡤߥޡߡ ߥޡ ξοƱ
ơߥޡߡ ϡ
ޤκϣͤξ (= ) ʤΤ A1
ΡߤϥްʳƤ⤤Τ 3C1
ޤαϣͤξ ߡ Τ ߡ ǤоοΤ A2/2
äơߥޡߡ ϡ3C1 * A1 * A2/2
ɡ
ߥޡߡ ߥޡ ---> 3C1 * A1 * A2/2 * 2
Ǥ٤ƤʤΤǡ
A4 = A3 + 3C1 * A1 * A2/2 * 2 = 4 + 3 * 1 * 1 * 2 = 10

A5 ϡͤξǡߡߡ ߡߡ ǽǤ
ޡߡߡ + ߡߥ
оꡤޡߡߡ ߡߥ ξοƱ
ơޡߡߡ ϡްʳϣͤξ ߡߡ ߡ Τ ߡߡ ʤΤ A4/2
äơޡߡߡ ϡA4/2
ɡ
ޡߡߡ + ߡߥ ---> A4/2 * 2 = A4
ߥޡߡ ߡߥޡ
оꡤߥޡߡ ߡߥޡ ξοƱ
ơߥޡߡ ϡ
ޤκϣͤξ (= ) ʤΤ A1
ΡߤϥްʳƤ⤤Τ 4C1
ޤαϣͤξ ߡ ߡ Τ ߡ ʤΤ A4 ΤȤƱͤ A3/2
äơߥޡߡ ϡ4C1 * A1 * A3/2
ɡ
ߥޡߡ ߡߥޡ ---> 4C1 * A1 * A3/2 * 2
ߥޡߡ
ϡ
ޤκϣͤξ ߡ Τ ʤΤ A2/2
ޤαϣͤξ ߡ Τ ߡ ʤΤ A2/2
ΡߡϥްʳƤ⤤Τ 4C2
äơߥޡߡ ϡ4C2 * A2/2 * A2/2
ɡ
ߥޡߡ ---> 4C2 * A2/2 * A2/2
Ǥ٤ƤʤΤǡ
A5 = A4 + 4C1 * A1 * A3/2 * 2 + 4C2 * A2/2 * A2/2 = 10 + 4 * 1 * 2 * 2 + 6 * 1 * 1 = 32
ʤ嵭ΤȤ顤
ߡߡ = 4C1 * A1 * A3/2 * 2 = 4 * 1 * 2 * 2 = 16
ߡߡ = A4 + 4C2 * A2/2 * A2/2 = 10 + 6 * 1 * 1 = 16
ǡοȤդޤϡA6 ǻȤޤ

A6 ϡͤξǡߡߡߡ ߡߡ ǽǤ
ߡߡߥ ޡߡߡ
оꡤߡߡߥ ޡߡߡ ξοƱ
ơްʳϣͤξ ߡߡ ߡߡ Τ ߡߡ Ǥ
A5 κǸդ褦ˡĤξοΤǡ
ߡߡߥ ޡߡߡ ---> A5/2 * 2 = A5
ߥޡߡߡ ߡߥޡ
оꡤߥޡߡߡ ߡߥޡ ξοƱ
ơߥޡߡߡ ϡ
ޤκϣͤξ (= ) ʤΤ A1
ΡߤϥްʳƤ⤤Τ 5C1
ޤαϣͤξ ߡߡ ߡ Τ ߡߡ ʤΤ A4/2
äơߥޡߡߡ ϡ5C1 * A1 * A4/2
ɡ
ߥޡߡߡ ߡߥޡ ---> 5C1 * A1 * A4/2 * 2
ߡߥޡߡ ߥޡߡ
оꡤߡߥޡߡ ߥޡߡ ξοƱ
ơߡߥޡߡ ϡ
ޤκϣͤξ ߡ ߡ Τ ߡ ʤΤ A4 ΤȤƱͤ A3/2
ޤαϣͤξ ߡ Τ ߡ ʤΤ A2/2
ΡߡϥްʳƤ⤤Τ 5C2
äơߡߥޡߡ ϡ5C2 * A3/2 * A2/2
ɡ
ߡߥޡߡ ߥޡߡ ---> 5C2 * A2/2 * A3/2 * 2
Ǥ٤ƤʤΤǡ
A6 = A5 + 5C1 * A1 * A4/2 * 2 + 5C2 * A2/2 * A3/2 * 2 = 32 + 5 * 1 * 5 * 2 + 10 * 1 * 2 * 2 = 122
ǡɡ122̤ Ǥ͡

ࡤʤݤˤʤäƤޤޤޥ뤵ϤäȤޤΤǤ礦
Ǥ⡤ͤä顤Τ˿ڤ⡥(^^;

#29526#29527
⤦ˤˡ񤭹Ǥ֤ɲä줿褦ʤΤǡɲ ^^;
äͤ䤹ʡ
ɤ顤
http://homepage3.nifty.com/y_sugi/gf/gf17.htm
ǻŦƤΤƱȤȯ줿褦Ǥ͡
ͥνȡ 38ڡ 14:49:24 MAIL:uchi@sco.bekkoame.ne.jp 29529

ֹ⤤ΤȰ㤤ΤɤΤ9̤˾ʬ
(ºݤ˾ʬ6)Ƿ׻ޤ
(㡡ߤǹ)
ߡݡݡݡݡ
ݡݡߡݡݡ
ݡݡݡݡߡ
ݡߡݡݡݡ
ݡݡߡݡݡ
ݡݡݡݡߡ
ݡߡݡݡݡ
ݡݡݡߡݡ
ݡݡݡݡߡ

ף

оΤΥѥͤơߣᣱ

äȡΤ˾櫓ǤʤΤʤȻפޤ

38ڡ 17:23:04 29530
doba
ȯäĺޤ

βˡϡ(624264641)2=122ȤΤǤ

ͤ
ޤabcdefξͤޤ


abcdef
max(a,b)min(c,d)
max(c,d)min(e,f)
ΣĤξʬƹͤޤ

ͤa,bȡc,dȡe,fȤʬˡ6242̤Ǥ

a,b,c,dΣͤȤޤȡΣͤʤ褦a,bȤc,dȤʬˡ̤ʲ飲ͤa,bȤȤˤΤǡʤ褦ʡa,bȡc,dȡe,fȤʬˡפ64̤ꤢޤ
Ʊͤ˾ʤ褦ʡa,bȡc,dȡe,fȤʬˡפ64̤ꤢޤ

ˡʤ褦ʡa,bȡc,dȡe,fȤʬˡפϡ飲ͤa,bȡ夫飲ͤe,fȤȤʤΤǡ̤Ǥ

ʾꡢ褦ʡa,bȡc,dȡe,fȤʬˡפϡ624264641̤Ȥʤޤ

Τ줾ˤĤơ褦¤̤ꤺ¸ߤΤǡabcdefȤʤ褦¤624264641̤ꤢ뤳Ȥˤʤޤ

abcdefξƱͤ˹ͤФ褤ΤǡϤܤΤˤʤޤ

äƤʴǤǤ礦
38ڡ 18:48:03 29531
uchinyan
#29531
ʤۤɡϤޤʤ褯פĤޤ͡ٶˤʤޤ
ͥνȡ 38ڡ 21:58:59 MAIL:uchi@sco.bekkoame.ne.jp 29532
⡼ޥ
ä줿^^;v
ñʤΤ˥ԥȤʤơǤ򤫤äǤ
äƿȶˤǤͤ ^^
a<b>c<d>e<f 椬դξʤΤǡξοͤܤޤ
a<b,c<d,e<f ǡġb>c,d>e ξ夲ޤ
12 Τʤ
13-2546,-2645
14-2536,-2635,-3526,-3625
15-2436,-2634,-3426,-3624,-4623
16-2435,-2534,-3425,-3524,-4523
23-1546,-1645
24-1536,-1635,-3516,-3615
25-1436,-1634,-3416,-3614,-4613
26-1435,-1534,-3415,-3514,-4513
34-1526,-1625,-2516,-2615
35-1426,-1624,-2416,-2614,-4612
36-1425,-1524,-2415,-2514,-4512
45-1326,-1623,-2316,-2613,-3612
46-1325,-1523,-2315,-2513,-3512
56-1324,-1423,-2314,-2413,-3412

ʾ夫顢2*2+4*3+5*9=61
ܤǡ122
줫顢ΥޡȤˡٶƤ餤ޤOrz
38ڡ 22:17:38 29533
banyanyan
ƤƤܤ󤯤ƬǤϲ򤱤ʤȽǤƣƹͤƤߤޤ
38ڡ 22:58:28 MAIL:banyanyanmi@yahoo.co.jp 29534
missk
>>29523
ϡݤʤ֤Ǥ⡢˹ԤȤ𤤤ޤ󤬡
ʤ;פΤȤȤϳ𤤤ޤ
Ͼγڱࡡ 39ʶ 14:40:58 MAIL:jjyhr530@yahoo.co.jp 29535
missk
#29523
ϡݤʤ֤Ǥ⡢˹ԤȤ𤤤ޤ󤬡
ʤ;פΤȤȤϳ𤤤ޤ
¾ΤȤΥޡˤƤޤä#פǤ͡
Ͼγڱࡡ 39ʶ 14:42:21 MAIL:jjyhr530@yahoo.co.jp 29536
⡼ޥ
߾¤־ͤƤߤޤȸäƤǤ ^^;
餫˶ξ
n=2 ξϤʤ
n=4 ξϡ1-3-2-4,1-4-2-3 Σ̤ꡣ
n=6 ξϡ1ǻϤޤΤͤƤʤΤǡ#29533 Ѥơ
12 Τʤ
13-2546,-2645
14-2536,-2635,-3526,-3625
15-2436,-2634,-3426,-3624,-4623
16-2435,-2534,-3425,-3524,-4523
16ĤǤ͡
줫餹ȡα߾ΤɤϤ¤٤Ƥ⤤櫓顢
a<b ξϡ6/2=3 顢16*3=48,61-48=13 ĤϡľˤǽΤΤǤ͡
ߴľξδñʵäʬޤ
ҤäȤ顢ξο󥸥ȿäꤷơ

311 12:37:52 29537
ʸ
äȤǤޤ
äݤȤޤ
Ϥ֤ʤ#29526ȤʤǤ
311 13:49:01 MAIL:kyorofumi@msn.com HomePage:ʸ29538
Ѥ
ǽ餳򸫤Ȥϡ
⤤Ǥδ֤㤤Ф󤸤͡
ȤͤФޤǤ
Ǥ⤽ʤ櫓̵Ȼפؤι⤤ͤˤƾʬǹͤޤ

ĿŪˤϥ᥽Ȥʤؤ⤽Ǥ
֡ 312ʷ 22:45:39 HomePage:ʥڡ29539
⡼ޥ
ͧ

̵¸ĤǿpФx^2+x+1=pyϡ(x,y)ĤȤ衣

ȤΤȤǤճˤä򤱤ޤv

ȻפäƤ顢ְ㤤Ǥ;^^

313ʲС 22:46:58 29540
doba
#29540
⡼ޥ󤵤

ΤϥǤ

x^2+x+1=3y(x,y)=(1,1)ĤΤǡ
x^2+x+1=pyĤ褦ǿpϾʤȤ⣱¸ߤ롣

x^2+x+1=pyĤ褦ǿpʤȤn¸ߤȲꤹȡǤդpS_nˤĤx^2+x+1=pyĤ褦nĤǿνS¸ߤ롣
ΤȤS˴ޤޤƤǿѤXȤȡXX^2+X+1餫˸ߤǤʤΤǡX^2+X+1ǰʬ򤷤ƸǿϡXǤϤʤʤSˤϴޤޤʤ
Τ褦ǿΤΣĤPȤȡPX^2+X+1ʤΤǡX^2+X+1=PYȤʤ褦Y¸ߤ롣äơx^2+x+1=Py(x,y)=(X,Y)ġ
PS˴ޤޤʤΤǡx^2+x+1=pyĤ褦ǿpʤȤn+1¸ߤ뤳Ȥ롣

äơŪǼˡˤꡤx^2+x+1=pyĤ褦ǿpǤդμ¸ߤ롣ʤ̵¤¸ߤ롣
314ʿ 16:46:16 29541
doba

ǤդpS_nˤĤ
ǤդpSˤĤ
314ʿ 16:49:33 29542
ǥ
#29451
doba󡡸ʾǤͤ͡ƤΤǤǤˤ
䤷ƤȤǤٶˤʤޤ
314ʿ 23:25:35 29543