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A116408
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E.g.f. exp(x)*(Bessel_I(2,2x)-Bessel_I(3,2x)+Bessel_I(4,2x)).
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1
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0, 0, 1, 2, 7, 20, 61, 182, 546, 1632, 4875, 14542, 43340, 129064, 384111, 1142610, 3397656, 10100448, 30020283, 89213094, 265096455, 787695636, 2340488535, 6954401762, 20664628438, 61406952800, 182488572045, 542358944946
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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COMMENTS
| Third column in number triangle A116407.
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FORMULA
| a(n)=sum{k=0..n, C(n,k)*(-1)^k*(C(k+1,k/2-1)(1+(-1)^k)/2 + C(k,(k-1)/2-1)(1-(-1)^k)/2)}.
Conjecture: 2*(n+4)*(n-23)*a(n) + 2*(n^2+64n+79)*a(n-1) +(-59n^2+232n+740)*a(n-2) +(64n^2-585n+1019)*a(n-3) +3(n-3)*(41n-124)*a(n-4)=0. - R. J. Mathar, Dec 10 2011
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CROSSREFS
| Sequence in context: A201967 A116950 A111017 * A014983 A015518 A083379
Adjacent sequences: A116405 A116406 A116407 * A116409 A116410 A116411
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KEYWORD
| easy,nonn
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Feb 13 2006
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