A116399 Triangle whose k-th column has e.g.f. sum{j=0..k, Bessel_I(k+j,2x)}.

1, 0, 1, 2, 1, 1, 0, 3, 1, 1, 6, 4, 5, 1, 1, 0, 10, 5, 6, 1, 1, 20, 15, 21, 7, 7, 1, 1, 0, 35, 21, 28, 8, 8, 1, 1, 70, 56, 84, 36, 37, 9, 9, 1, 1, 0, 126, 84, 120, 45, 46, 10, 10, 1, 1, 252, 210, 330, 165, 175, 56, 56, 11, 11, 1, 1

Offset

0,4

Comments

Second column is A037952. Third column is the double of A002054. Product of A007318 and A116399 is A116401.

Links

Table of n, a(n) for n=0..65.

Example

Triangle begins
1,
0, 1,
2, 1, 1,
0, 3, 1, 1,
6, 4, 5, 1, 1,
0, 10, 5, 6, 1, 1,
20, 15, 21, 7, 7, 1, 1

Crossrefs

Sequence in context: A098599 A326925 A129334 * A116405 A281048 A340031

Adjacent sequences: A116396 A116397 A116398 * A116400 A116401 A116402

Keyword

easy,nonn,tabl

Author

Paul Barry, Feb 13 2006

Status

approved