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A090367
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Shifts 1 place left under the INVERT transform of the BINOMIAL transform of the self-convolution cube of this sequence.
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2
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1, 1, 5, 34, 276, 2509, 24739, 259815, 2873376, 33207790, 398897289, 4960652325, 63676368387, 841741913795, 11438028248093, 159536511439266, 2281321298635427, 33411684617642665, 500761214428795093
(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))^3*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^3, 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, A090366.
Sequence in context: A081342 A058248 A116435 * A189488 A111557 A121323
Adjacent sequences: A090364 A090365 A090366 * A090368 A090369 A090370
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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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