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A116407 Triangle whose k-th column has e.g.f. exp(x)*sum{j=0..k, (-1)^j*Bessel_I(k+j,2x)}. +0
4
1, 1, 1, 3, 1, 1, 7, 3, 2, 1, 19, 6, 7, 3, 1, 51, 15, 20, 11, 4, 1, 141, 36, 61, 34, 16, 5, 1, 393, 91, 182, 105, 55, 22, 6, 1, 1107, 232, 546, 314, 183, 83, 29, 7, 1, 3139, 603, 1632, 930, 588, 295, 119, 37, 8, 1, 8953, 1585, 4875, 2727, 1858, 1001, 451, 164, 46, 9, 1 (list; table; graph; listen)
OFFSET

0,4

COMMENT

First column is A002426. Second column is A005043(n+1). Third column is A116408. Row sums are A116409. Product of A007318 and A116405.

FORMULA

Triangle begins 1, 1, 1, 3, 1, 1, 7, 3, 2, 1, 19, 6, 7, 3, 1, 51, 15, 20, 11, 4, 1

CROSSREFS

Sequence in context: A010273 A046143 A071812 this_sequence A135288 A078026 A126713

Adjacent sequences: A116404 A116405 A116406 this_sequence A116408 A116409 A116410

KEYWORD

easy,nonn,tabl

AUTHOR

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

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.


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