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Search: id:A090363
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| A090363 |
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Shifts 1 place left under the BINOMIAL transform of the self-convolution of this sequence. |
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+0
1
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| 1, 1, 3, 12, 58, 320, 1954, 12961, 92237, 698111, 5583319, 46952892, 413560076, 3803165348, 36419879176, 362366133696, 3738804161990, 39935163833132, 440917642476858, 5025099681646374, 59044001774803872, 714419979588724854
(list; graph; listen)
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OFFSET
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0,3
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FORMULA
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G.f.: A(x) = 1 + A(x/(1-x))^2*x/(1-x).
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PROGRAM
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(PARI) {a(n)=local(A); if(n<0, 0, A=1+x+x*O(x^n); for(k=1, n, B=subst(A^2, x, x/(1-x))/(1-x)+x*O(x^n); A=1+x*B); polcoeff(A, n, x))}
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CROSSREFS
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Sequence in context: A122677 A038177 A163047 this_sequence A115086 A125276 A001426
Adjacent sequences: A090360 A090361 A090362 this_sequence A090364 A090365 A090366
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Nov 26 2003
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