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A098522
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E.g.f. exp(x)BesselI(2,2sqrt(3)x)/3.
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0
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0, 0, 1, 3, 18, 70, 330, 1386, 6160, 26496, 115965, 502975, 2194302, 9553050, 41687737, 181908195, 794770200, 3474159304, 15199740171, 66541189473, 291507681070, 1277822445690, 5604712643376, 24596642511628
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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COMMENTS
| Binomial transform of e.g.f. BesselI(2,2sqrt(3)x)/3, or {0,0,1,0,12,0,135,0,1512,0,17010,...} with g.f. ((1-6x^2)-sqrt(1-12x^2))/(18x^2*sqrt(1-12x^2)).
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FORMULA
| G.f.: (1-2x-5x^2-(1-x)sqrt(1-2x-11x^2))/(18x^2*sqrt(1-2x-11x^2)); a(n)=sum{k=0..floor(n/2), binomial(n, k)binomial(n-k, k+2)3^k}.
Conjecture: (n-2)*(n+2)*a(n)-n*(2n-1)*a(n-1) -11n*(n-1)*a(n-2)=0. - R. J. Mathar, Dec 11 2011
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CROSSREFS
| Cf. A098519, A098521.
Sequence in context: A048899 A107583 A157535 * A174764 A114633 A135070
Adjacent sequences: A098519 A098520 A098521 * A098523 A098524 A098525
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KEYWORD
| easy,nonn
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Sep 12 2004
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