A136789 Triangle read by rows: A007318^(-1) * A011971.

1, 0, 2, 1, -1, 5, 1, 4, -5, 15, 4, 2, 17, -23, 52, 11, 17, 2, 79, -109, 203, 41, 46, 80, -20, 397, -544, 877, 162, 198, 208, 418, -244, 2134, -2876, 4140, 715, 841, 1031, 994, 2389, -2053, 12196, -16113, 21147, 3425, 4014, 4663, 5771, 4950, 14693, -15819, 73798, -95495, 115975

Offset

1,3

Comments

Row sums and right border = the Bell numbers (A000110) starting (1, 2, 5, 15, 52, 203, ...).

Links

Table of n, a(n) for n=1..55.

Formula

Binomial transform of the Aitken array A011971.

Example

First few rows of the triangle:
   1;
   0,  2;
   1, -1,  5;
   1,  4, -5,  15;
   4,  2, 17, -23,   52;
  11, 17,  2,  79, -109,  203;
  41, 46, 80, -20,  397, -544, 877;
  ...

Crossrefs

Cf. A000110, A011971, A130595.

Sequence in context: A174785 A356399 A373173 * A342916 A339966 A347087

Adjacent sequences: A136786 A136787 A136788 * A136790 A136791 A136792

Keyword

tabl,sign

Author

Gary W. Adamson, Jan 21 2008

Extensions

a(52) corrected by Georg Fischer, Jun 05 2023

Status

approved