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Search: id:A115326
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| A115326 |
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E.g.f.: exp(x/(1-2*x))/sqrt(1-4*x^2). |
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+0
1
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| 1, 1, 9, 49, 625, 6561, 109561, 1697809, 35247969, 717436225, 17862589801, 448030761201, 13029739166929, 387070092765409, 12888060720104025, 441427773256896721, 16566268858818121921, 641658452161285040769
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OFFSET
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0,3
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COMMENT
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Term-by-term square of sequence with e.g.f.: exp(x+m/2*x^2) is given by e.g.f.: exp(x/(1-m*x))/sqrt(1-m^2*x^2) for all m.
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FORMULA
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Equals the term-by-term square of A047974 which has e.g.f.: exp(x+x^2).
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PROGRAM
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(PARI) a(n)=local(m=2); n!*polcoeff(exp(x/(1-m*x+x*O(x^n)))/sqrt(1-m^2*x^2+x*O(x^n)), n)
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CROSSREFS
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Cf. A047974.
Sequence in context: A069665 A066558 A135625 this_sequence A069666 A133049 A050632
Adjacent sequences: A115323 A115324 A115325 this_sequence A115327 A115328 A115329
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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), Jan 20 2006
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