A152433 Triangle read by rows, A000012^(-1) * A152431

1, 0, 1, 1, 0, 2, 4, 1, 0, 5, 16, 4, 2, 0, 15, 70, 16, 8, 5, 0, 52, 334, 70, 32, 20, 15, 0, 203, 1720, 334, 140, 80, 60, 52, 0, 877, 9478, 1720, 668, 350, 240, 208, 203, 0, 4140, 55522, 9478, 3440, 1670, 1050, 832, 812, 877, 0, 21147

Offset

-1,6

Comments

Row sums = A005493 prefaced with a 1; (1, 1, 3, 10, 37, 151,...).

Right border = Bell numbers, A000110.

Links

Table of n, a(n) for n=-1..53.

Formula

A000012^(-2) * A152431 as infinite lower triangular matrices, where A000012^(-1) = the pairwise difference operator.

Example

First few rows of the triangle =
1;
0, 1;
1, 0, 2;
4, 1, 0, 5;
16, 4, 2, 0, 15;
70, 16, 8, 5, 0, 52;
334, 70, 32, 20, 15, 0, 203;
1720, 334, 140, 80, 60, 52, 0, 877;
9478, 1720, 668, 350, 240, 208, 203, 0, 4140;
55522, 9478, 3440, 1670, 1050, 832, 812, 877, 0, 21147;
...

Crossrefs

A152431, A005493

Sequence in context: A067849 A164268 A294390 * A378394 A094344 A211183

Adjacent sequences: A152430 A152431 A152432 * A152434 A152435 A152436

Keyword

nonn,tabl

Author

Gary W. Adamson, Dec 04 2008

Status

approved