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

0,4

Comments

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

Row sums are A116409. Product of A007318 and A116405.

Links

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

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

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

Sequence in context: A177992 A346906 A228524 * A309402 A135288 A078026

Adjacent sequences: A116404 A116405 A116406 * A116408 A116409 A116410

Keyword

easy,nonn,tabl

Author

Paul Barry, Feb 13 2006

Status

approved