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Search: id:A098441
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| A098441 |
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Expansion of 1/sqrt(1-2x-63x^2). |
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+0
2
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| 1, 1, 33, 97, 1729, 8001, 105441, 627873, 6989697, 48363649, 488206753, 3701949153, 35289342529, 283146701761, 2610495177057, 21695983405857, 196218339243777, 1667338615773441, 14917038493453089, 128562758660255073
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Binomial transform of 1/sqrt(1-64x^2).
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REFERENCES
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Tony D. Noe, On the Divisibility of Generalized Central Trinomial Coefficients, Journal of Integer Sequences, Vol. 9 (2006), Article 06.2.7.
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FORMULA
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E.g.f.: exp(x)BesselI(0, 4sqrt(4)x); a(n)=sum{k=0..floor(n/2), binomial(n-k, k)binomial(n, k)16^k}.
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CROSSREFS
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Sequence in context: A098923 A044220 A044601 this_sequence A032650 A133901 A008880
Adjacent sequences: A098438 A098439 A098440 this_sequence A098442 A098443 A098444
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Sep 07 2004
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