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A090366
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Shifts 1 place left under the INVERT transform of the BINOMIAL transform of the self-convolution of this sequence.
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2
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1, 1, 4, 21, 131, 917, 6988, 56965, 491240, 4447558, 42048457, 413473928, 4215959294, 44469487070, 484303175837, 5437300482651, 62848069403649, 747063566345320, 9123406697372938, 114370704441951620
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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FORMULA
| G.f.: A(x) = 1/(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*A*B); polcoeff(A, n, x)))}
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CROSSREFS
| Cf. A090365, A090367.
Sequence in context: A141052 A058308 A078591 * A131965 A104982 A195440
Adjacent sequences: A090363 A090364 A090365 * A090367 A090368 A090369
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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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