A116401 Triangle whose k-th column has e.g.f. exp(x)*sum{j=0..k, Bessel_I(k+j,2x)}.

1, 1, 1, 3, 3, 1, 7, 9, 4, 1, 19, 26, 15, 5, 1, 51, 75, 50, 21, 6, 1, 141, 216, 161, 78, 28, 7, 1, 393, 623, 504, 273, 113, 36, 8, 1, 1107, 1800, 1554, 918, 423, 157, 45, 9, 1, 3139, 5211, 4740, 3006, 1506, 625, 211, 55, 10, 1, 8953, 15115, 14355, 9657, 5182, 2343, 891, 276

Offset

0,4

Comments

First column is A002426. Second column is A005774. Third column is A014532.

Links

Table of n, a(n) for n=0..62.

Example

Triangle begins:
  1,
  1, 1,
  3, 3, 1,
  7, 9, 4, 1,
  19, 26, 15, 5, 1,
  51, 75, 50, 21, 6, 1
  ...

Crossrefs

Cf. A002426, A005774, A014532.

Sequence in context: A214362 A180735 A344726 * A106479 A114422 A127501

Adjacent sequences: A116398 A116399 A116400 * A116402 A116403 A116404

Keyword

easy,nonn,tabl

Author

Paul Barry, Feb 13 2006

Status

approved