A116407 Triangle whose k-th column has e.g.f. exp(x)*sum{j=0..k, (-1)^j*Bessel_I(k+j,2x)}.

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

Author

Paul Barry, Feb 13 2006

Keywords

• easy
• nonn
• tabl

Comments

First column is A002426. Second column is A005043(n+1). Third column is A116408.

Row sums are A116409. Product of A007318 and A116405.

Examples

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

Crossrefs

Cf. A002426, A005043, A116408, A116409, A007318, A116405.