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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)}.
3
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
OFFSET
0,4
COMMENTS
First column is A002426. Second column is A005043(n+1). Third column is A116408.
Row sums are A116409. Product of A007318 and A116405.
EXAMPLE
Triangle begins:
1;
1, 1;
3, 1, 1;
7, 3, 2, 1;
19, 6, 7, 3, 1;
51, 15, 20, 11, 4, 1;
...
CROSSREFS
KEYWORD
easy,nonn,tabl
AUTHOR
Paul Barry, Feb 13 2006
STATUS
approved