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Search: id:A116408
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A116408 E.g.f. exp(x)*(Bessel_I(2,2x)-Bessel_I(3,2x)+Bessel_I(4,2x)). +0
2
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; listen)
OFFSET

0,4

COMMENT

Third column in number triangle A116407.

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)}

CROSSREFS

Sequence in context: A025180 A116950 A111017 this_sequence A014983 A015518 A083379

Adjacent sequences: A116405 A116406 A116407 this_sequence A116409 A116410 A116411

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Feb 13 2006

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Last modified November 18 20:14 EST 2008. Contains 147244 sequences.


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