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Search: id:A159349
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| A159349 |
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Transform of the finite sequence (1, 0, -1, 0, 1, 0, -1) by the T_{0,0} transformation (see link) |
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+0
2
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| 1, 1, 1, 4, 11, 24, 56, 129, 300, 698, 1623, 3773, 8771, 20390, 47401, 110194, 256170, 595523, 1384423, 3218393, 7481856, 17393205, 40434296, 93998334, 218519615, 507996473, 1180948523, 2745372238, 6382216141, 14836852470, 34491497366
(list; graph; listen)
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OFFSET
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0,4
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LINKS
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Richard Choulet : Curtz-like transformation
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FORMULA
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O.g.f f(z)=((1-z)^2/(1-3*z+2*z^2-z^3))*(1-z^2+z^4-z^6). a(0)=1, a(1)=1, a(2)=1, a(3)=4, a(4)=11, a(5)=24, a(6)=56, a(7)=129, a(8)=300 and for n>=6 a(n+3)=3*a(n+2)-2*a(n+1)+a(n).
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MAPLE
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a(0):=1: a(1):=1:a(2):=1: a(3):=4:a(4):=11:a(5):=24:a(6):=56:a(7):=129:a(8):=300:for n from 6 to 31 do a(n+3):=3*a(n+2)-2*a(n+1)+a(n):od:seq(a(i), i=0..31);
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CROSSREFS
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A137531, A159347, A159348
Adjacent sequences: A159346 A159347 A159348 this_sequence A159350 A159351 A159352
Sequence in context: A007678 A159350 A159348 this_sequence A115294 A110610 A051462
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KEYWORD
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easy,nonn
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AUTHOR
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Richard Choulet (richardchoulet(AT)yahoo.fr), Apr 11 2009
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