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A098441
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Expansion of 1/sqrt(1-2*x-63*x^2).
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1
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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; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| Binomial transform of 1/sqrt(1-64*x^2).
It appears that a(n) is the coefficient of x^n in (x^2+x+16)^n - Joerg Arndt, Jan 13 2011.
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REFERENCES
| 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
| E.g.f.: exp(x)*BesselI(0, 4*sqrt(4)*x); a(n)=sum{k=0..floor(n/2), binomial(n-k, k)*binomial(n, k)*16^k}.
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CROSSREFS
| Sequence in context: A044220 A044601 A195315 * A032650 A133901 A008880
Adjacent sequences: A098438 A098439 A098440 * A098442 A098443 A098444
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KEYWORD
| easy,nonn
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Sep 07 2004
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