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Search: id:A090364
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| A090364 |
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Convolution of this sequence with its binomial transform equals the second iteration of the binomial transform upon this sequence. |
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+0
1
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| 1, 1, 3, 13, 79, 633, 6363, 77301, 1102791, 18070705, 334337203, 6890754093, 156506187679, 3882859101289, 104459523189387, 3028574143010661, 94129826448658551, 3121967981131094049, 110053554178639814499
(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) = A(x/(1-2x))/A(x/(1-x))*(1-x)/(1-2x).
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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, x, x/(1-x))/(1-x)+x*O(x^n); C=subst(B, x, x/(1-x))/(1-x)+x*O(x^n); A=A-A*B+C); polcoeff(A, n, x))}
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CROSSREFS
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Sequence in context: A159312 A125659 A010844 this_sequence A112935 A074514 A020014
Adjacent sequences: A090361 A090362 A090363 this_sequence A090365 A090366 A090367
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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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