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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
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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; refs; listen; history; internal format)
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OFFSET
| 0,3
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FORMULA
| G.f.: A(x) = 1 + A(x/(1-x))^2*x/(1-x).
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PROG
| (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))}
(Maxima) a(n):=if n=0 then 1 else sum(binomial(n-1, k-1)*sum(a(k-1-i)*a(i), i, 0, k-1), k, 1, n); [From Vladimir Kruchinin, Jun 25 2011]
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CROSSREFS
| Sequence in context: A122677 A038177 A163047 * A115086 A196708 A184511
Adjacent sequences: A090360 A090361 A090362 * A090364 A090365 A090366
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KEYWORD
| nonn
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AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), Nov 26 2003
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