CRYING DOLPHIN
ܼƱ(ޤƱ)ï󤬲˽ФƤꡣ
http://cdcdcd.sansu.org/pika/G/G-q35.htm

᤯äȤȡȤפݥȤ򥲥å
ƤʤΤǡ¨㤤ޤorz
饯񡡡 43ڡ 0:23:07 HomePage:ȤƻȤ31860
㡼ߡ
#31860 ʤۤɡƱǤ͡

äݤޥ 2 Ĥ䤷Ƥޤ
3 ʬ餤ǤۤȤɤǤƤΤˡ
6 ΤȤ 7 ̤ȻפǤޤ ( 9 ̤)
ʤʤˤʤޤǤʡ
Ȥ礦Ȥ䤯 43ڡ 0:27:50 MAIL:kakuromaster@star.cims.jp 31862

ͤޤ硦硦硦ȣ示䤷Ƥ
ȷϿޤȤޤƻ˿ޤ
η̤ȤäΤǷ㴳Ȥޤ

ʤɤǤ⤤񤭴ְ㤤äΤǤä
ޡ 43ڡ 0:34:27 31863
ʸ
a(n+3)=a(n+2)+a(n)+1
Ǥ

βΤʤ
43ڡ 0:36:08 MAIL:kyorofumi@msn.com HomePage:ʸ31864
miki
ξ礫示䤷Ƥȡ

1,2,4,6,9,14,21,31,46,68,100

ȤʤꡢѤʥեܥʥåˤʤäƤȻפޤ
43ڡ 0:37:09 31865
Ѥ
Ϥ褿ΤǤ
׻ˣʬ⤫Ȥϡ
֡ 43ڡ 0:37:53 HomePage:31866
Taro
a(n)=a(n-1)+a(n-2)-a(n-5)Ȥϡ
˵ŤޤǤޤ

̲ߥϢ³Ǥ
ΤȤ 43ڡ 0:39:27 31867
ߤ
餤ޤǤƻ˺ȡ
ΤȤɤΥޥǽäĴ٤֤
ɽ٤ĤĥΤȤʹߤ׻Ƥ

褯֣orʤijʤȤʤξϲ̤ꡩפʤ
ΤȤ˻Ȥ§СǤ͡

ʤ 43ڡ 0:44:41 31868
ڼ
ǽ­ƤޤʳƱȻפޤ
̲ϵƤޤ
͡ 43ڡ 0:41:46 MAIL:iida@ae.keio.ac.jp 31869

äƤʤ󤸤ۤáǤΤȤ飲示䤷Ƥޤ
Ǹϡʣܣˡܡʣܣܣˤˤʤޤ

#31859
ǤƤߤޤ
1,4,3,2,........5ܰʹߤ4Ĥο¤5dzä;ˤפˤ3,0,4,4Ȥ¤ӤϤʤȤȤǤϡոϰפƤȻפޤ

ϡ

ˡֽοפ3,0,4,4Ȥ¤ӤȤȡֽο򣵤dzäפˤ3,0,4,4Ȥ¤Ӥɬ¸ߤϤǤ
ֽο򣵤dzäפϡ1,4,3,2,........5ܰʹߤ4Ĥο¤5dzä;ˤפƱʤΤǡԤˤ3,0,4,4Ȥ¤Ӥɬ¸ߤϤǤ
Ǥ⡢줬¸ߤʤȤȤϽβ꤬äȤȤǤ

ȻפΤǤ
󡢵դˡ1,4,3,2,........5ܰʹߤ4Ĥο¤5dzä;ˤפ3,0,4,4Ȥ¤Ӥ뤫Ȥäơֽοפ3,0,4,4Ȥ¤ӤȤϤޤ

Фμ櫓ǤϤʤΤǤȾĤ˼ͤùǤߤޤ󡣤⤷ְäƤ餴ʤ
椬ȡ 43ڡ 1:11:29 MAIL:daisuke18@sb.dcns.ne.jp HomePage:31870
SUPERSPECIALSEMTEX
ޤƥӤ򸫤ƤƤ魯Ƥ
ͻԡ 43ڡ 1:10:26 MAIL:leonhard_euler0218sss@yahoo.co.jp 31871
ͣ򡥥ǥ
ޤȤƤ⤸ʤΤdzƱäݤ示䤷
ޤ
򤤤ȤꡢȤȤǤ͡
ФƤä顢ʸ#31864Ʊˤʤޤ

ʺꡢϥɥ֥͡ǥפ ֣ͣ.ǥפ˲ޤȤˡ
43ڡ 1:12:31 MAIL:cacrh525@hcn.zaq.ne.jp 31873
banyanyan
#31860
򤷤ƤߤǤˤʤorz

ϥ示䤷ƤäΤǤȤϢ³Ǥ(>_<)
43ڡ 1:13:20 HomePage:뤤²ײݻ31875

ǾοǤΨ㤯ʤޤ͡
餳줫餳ΥΥȤƤ餤ޤ
֤ʤʤƤʤ긷
43ڡ 1:17:26 31876
ߡ
Ĥǽ礬
1319

ʤΤ§եܥʥåȻפ(ȣ)
ä87

֥֡



ĺǸ㤦Τ͡orz
43ڡ 1:20:32 MAIL:amimorisama@hotmail.com 31877
ȥȥN
äȤǤ
ʼ˸лԡ 43ڡ 1:22:57 31878
zexio

ΤȤa_1


ΤȤa_2

n4ʾΤȤa_{n}=a_{n-1}+2a_{n-2}+a_{n-3}+3
a_{1}=1,a_{2}=4,a_{3}=9,a_{4}=21,a_{5}=46,a_{6}=100
43ڡ 1:36:04 31879

֣ޥġפĤƤä
ǽβޥǾʬƿޤ񤭤Ĥġ
ϫƽФƤ

a(n+3)=a(n+2)+a(n+1)*2+a(n)+3

Ȥ褯狼󼰤ˡ

a(3)ޤĴ٤Ƥʤ㤤ݤʡǤ
43ڡ 1:36:29 HomePage:31880
sugitakukun
ͤФϡ

ϡξѤˡ׷Ǥ
ʤʤμפ⤫Ф饷΢3ˤ줳Ƚ񤭤ʤޤ^^;

ʲˡ
12λξο򭬡11λ򭫡Ĥȵ

ơϤޤ꤬ǤΤǡ1ϥ
λ̤ʤΤϸƼޤäʤΤϥξ硣

μ˥ĥΩƤޤΤԲġ0̤ꡣʢ
μ˥İʲȾʤ̤ä岼ʤ̤ˡʤ1̤ʢ
μ˥ĥμˤϥ˹Ԥʤǥ褿Ȥ򸫤Ƥߤȭ̤Ȥ狼롣

äơ᭫ܭܣȤ롣
ǵˤʤΤϡȴǷ㤦ȡ
ξĴ٤ƤߤʤФʤʤäˢΤ
ǭĴ٤ƤߤȡϤ꭫᭪ܭܣ
ȤȤǼ˴ؤƤϤ褵

ȤϾξοƤСŪФƤ롣
ᣱᣲᣴ
᭤ܭܣ᣶
ºݤˣĴ٤ƤߤƤ⣶̤ʤΤǡդGO
ɭᣱ̤

̩Ͼ礤Ƥޤ^^
KKS衡 43ڡ 1:36:41 MAIL:sugitakuunikun@msn.com HomePage:White Shadow31881
banyanyan
ΤȤˤϤꤢǤͤ
http://www.research.att.com/~njas/sequences/A038718
43ڡ 1:44:52 HomePage:뤤²ײݻ31882
ˡ֥
դäƤޤ^^
ääƤĩο棳Ǥ
ʬϤޤޤƬǤʤȱǤޤ^^
ޤ轵Фޤͤޤ
43ڡ 1:46:38 31883
ۤ
ʤˤƤĤλξοa(n)
ʤˤƤnĤλξοb(n)Ȥ
a(n)=2*a(n-1)+2*b(n-1)+1
b(n)=a(n-1)+1
a(1)=1a(2)=4
b(1)=1
Фޤ
43ڡ 6:46:41 31884
ʤ


뤬ΤȤa(n)̤ƧȤ롣
a(1)=1, a(2)=1, a(3)=2 Ǥ롣

n Ƨϡ
(1) ǻϤ礬 a(n-1)̤ꡢ
(2) ǻϤ礬 a(n-3)̤ꡢ
(3) 餰Ȥޤ 1̤ꡢ٤ƤǤ롣
äơa(n) = a(n-1)+a(n-3)+1

a(4)=2+1+1=4
a(5)=4+1+1=6,,,a(12)=100,,,,a(18)=1000

sugitakukun #31881 ƱͤΤ褦Ǥ
ʶϤʤȻפޤ
̹񡡡 43ڡ 8:51:25 MAIL:naka@sansu.org HomePage:naka's Home Page31885
..*ӡ..*
ϥǸä󤹤
ʥäȥǤդȻפǤޤ(;`)
ʤߤˤ 470 ˤʤޤäƤǤͥ
43ڡ 10:19:39 31886
uchinyan
(ʤ̤ˤϱƶޤ󤬡äȴޤޤ)
Ϥˤϡơϡ
μʤȤȤǡɤʤƱȻפޤ

ϡ뤬岼 6 示ĤǤn 示ĤξͤΤȤξο a(n) ̤Ȥޤ
1) ݡ䥤ξ
1-1) ݡ䥤ݡ䥦ξ硧a(n-1) ̤
1-2) ݡ䥤ݡ䥨ݡ䥦ݡ䥪ξ硧a(n-2) ̤
1-3) ݡ䥤ݡ䥨ݡ䥪ξ硧դʤΤ 0 ̤ꡣ
1-4) ݡ䥤ݡ䥨ݡ䥫ξ硧ʤɤˤϹԤ򱦤˾򺸤ˤʤ1 ̤ꡣ
Ƥǡa(n-1) + a(n-2) + 1 ̤ꡣ
2) ݡ䥦ξ
2-1) ݡ䥦ݡ䥤ݡ䥨ξ硧ݡ䥤 n-1 ξƱʤΤǡa(n-2) + a(n-3) + 1 ̤ꡣ
2-2) ݡ䥦ݡ䥨ξ硧դʤΤ 0 ̤ꡣ
2-3) ݡ䥦ݡ䥪ξ硧ʤɤˤϹԤ򱦤˲򺸤ˤʤ1 ̤ꡣ
Ƥǡa(n-2) + a(n-3) + 2 ̤ꡣ
ʾƤʤΤǡ
a(n) = a(n-1) + 2 * a(n-2) + a(n-3) + 3
ˤʤޤơ
a(0) = 0, a(1) = 1, a(2) = 4
Ǥ a(6) ׻ǡ
a(0) = 0
a(1) = 1
a(2) = 4
a(3) = 4 + 2 * 1 + 0 + 3 = 4 + 2 + 0 + 3 = 9
a(4) = 9 + 2 * 4 + 1 + 3 = 9 + 8 + 1 + 3 = 21
a(5) = 21 + 2 * 9 + 4 + 3 = 21 + 18 + 4 + 3 = 46
a(6) = 46 + 2 * 21 + 9 + 3 = 46 + 42 + 9 + 3 = 100
Ȥʤꡤ100 ̤Ǥ
ͥνȡ 44ʶ 15:11:35 MAIL:uchi@sco.bekkoame.ne.jp 31887
uchinyan
ǼĤɤߤޤޤȤäȤǤ礦

ξ硤褽
a) οޤ岼Ȥˤƥ 6 示Ĥ a(6) ª롣岼 1 2 示䤹
a(n) = a(n-1) + 2 * a(n-2) + a(n-3) + 3
㤨С#31879#31880#31887(#31884 äȰ㤦)ʤɡ
b) οޤ򥿥 12 a(12) ª롣 1 示䤹
a(n) = a(n-1) + a(n-3) + 1
㤨С#31864#31873#31881#31885ʤɡ
̤ιͤ褦Ǥ͡
ʤ餫Ǥb) a(2n) a) a(n) ˤʤäƤޤ
ξ硤b) ϡ硤Ƿ㤤ˤʤäΤǡƹͤޤǤɤʤ褦ʤΤǤ͡

#31860ꤵƤȤϡǤ
ͥνȡ 43ڡ 16:30:26 MAIL:uchi@sco.bekkoame.ne.jp 31888

ǽϥԥʤäΤǡŬ˽񤤤Ƥ顢ƱǤƤΤDzˡ§ΤȻפĴ٤Ƥȥӥ󥴡äѤ꼫ʬϳΨϤ꤬Ȥ狼ޤ
43ڡ 12:51:40 31889

Ѽ¼༦Ǽ
ļˡ 43ڡ 13:59:39 31890

ʸ

ʤ
ļˡ 43ڡ 14:00:26 31891
󤤤ޥ
ޤ񤭡ü򥢥Ȥž夲ƤǤ­ѤǤ褦ˤʤޤ
43ڡ 17:02:43 31892

uchinyan󡢹޼ޤ
ܥƤʤʤǤʤäơm(__)m
ļˡ 43ڡ 17:05:28 31893
uchinyan
#31893
uchinyan󡢹޼ޤ
꤬Ȥޤޤʬ褯ʤޤ

ܥƤʤʤǤʤäơm(__)m
Ƭ⾯ĸäƤ褦Ǥޤ褯ʤ뤳ȤϤʤǤͤ (^^;
ͥνȡ 43ڡ 18:00:19 MAIL:uchi@sco.bekkoame.ne.jp 31894
Х륿
ϣ̵֡夲褦ȤƼԡ
ż֤Ū˹ͤ餹Ǥޤ㡣
ŪˤʤȰǤ
ϥȥʳ˹Ԥʤϣn-1饤˹ԤΤ
ϣn-3ȹԤΤ̤ꡣn-1ܣn-3ܣ
Ȥ򤯤ΤǤϤʤ12ᣱ3ᣲˣ12ޤ󡢺ǽ餫ǹͤʤȰͤܤ䤯Х륿ͤǤ
43ڡ 23:13:32 MAIL:barutanace@yahoo.co.jp 31895
ɤΥ
uchinyan󡢤ǡޤƬäƤʤǤ((((;)))
ͥȥ̤ȥ˥ȥΤȡ 44ʶ 6:05:21 31896

ޤ
http://wwwa.dcns.ne.jp/~orienteering/link1-2.html
⤷褱в򤤤Ƥ
椬ȡ 44ʶ 18:19:38 MAIL:daisuke18@sb.dcns.ne.jp HomePage:31898
X
櫓ƤƤޤ󥫼ˡͤˤƤޤStartǤN,Z,U뤤VZĤN,Z,U,뤤ϵUʤɤȾ櫓ޤĤä
46 9:03:17 31899

#31899
֥󥫼פ餷Ǥ

ϡ֥󥫥פȽ񤤤ѴǤʤʡȻפäƤޤ(ToT)
椬ȡ 46 12:54:56 MAIL:daisuke18@sb.dcns.ne.jp HomePage:31900

a(12)=100, a(18)=1000顢
⤷a(6n)=10^(n+1)Ȼפޤ
a(24)=9918ΩޤǤ
ʤġa(6)=9ΩƤʤä

Ǥ⡢a(6n)10^(n+1)a(6n+1)ΩǤ
̤ʲΥ٥Ǥn=14ޤǤΩƤޤ

a(n) = a(n-1)+a(n-3)+1a(1)=1, a(2)=1, a(3)=2ˤΰ̹ФСľǤ礦
46 17:16:23 31901

n=46ΩȤʤޤ
ǰ

ġ⤽a(6n))10^na(6n+1)Ǥ
46 17:56:20 31902

I confess.
ǽ顢ߤΥdzھȻפޤ
äΤǡѥ󡢥ΡȤ˽񤭤ޤ
ͤФ褫äT_T)
ļˡ 47ʷ 10:11:55 31903
X
󡡤󤫼꤬ȤޤꡢʲΤ褦˽񤭴äȤŤˤʤȤפޤ

ޤǤο򺹤Ǥ褦ο¤٤꤫ϲ̤ꡩ
47ʷ 11:58:18 31904

#31904

¤ϡ #31860 ˤ褦ˡʥ륫󤬤Ǥ˽ꤵƤΤǤǤ
http://cdcdcd.sansu.org/pika/G/G-q35.htm
椬ȡ 47ʷ 13:22:32 MAIL:daisuke18@sb.dcns.ne.jp HomePage:31905

äƤ顢ʥ
X󡢴ڹȴƥȥåפˡʤޤʵ㤤ʡ
ļˡ 47ʷ 15:37:32 31907
ģ
󡡳ФƤƤ꤬ȤޤǯˤȴߤǤǤ衣Ǥ⤳ϣԼҤȤϢ緳Ǥ͡
47ʷ 17:25:44 31908

ģؤ
äƤƤ褫äʥۥá
쥹꤬Ȥޤ.<(_ _)>
ļˡ 48ʲС 7:00:37 31909