A152432 Triangle read by rows, inverse binomial transform of A152431.

1, 0, 1, 1, -1, 2, 2, 2, -4, 5, 7, 0, 8, -15, 15, 26, 7, -8, 35, -60, 52, 109, 19, 22, -55, 165, -260, 203, 500, 90, 16, 110, -330, 832, -1218, 877, 2485, 410, 164, -70, 660, -1976, 4466, -6139, 4140, 13262, 2075, 656, 480, -870, 4264, -12180, 25433, -33120, 21147

Offset

0,6

Comments

Row sums = the Bell numbers, A000110: (1, 1, 2, 5, 15, 52, 203,...).

Links

Table of n, a(n) for n=0..54.

Formula

A007318^(-1) * A152431 as infinite lower triangular matrices.

Example

First few rows of the triangle =
1;
0, 1;
1, -1, 2;
2, 2, -4, 5;
7, 0, 8, -15, 15;
26, 7, -8, 35, -60, 52;
109, 19, 22, -55, 165, -260, 203;
500, 90, 16, 110, -330, 832, -1218, 877;
2485, 410, 164, -70, 660, -1976, 4466, -6139, 4140;
13262, 2075, 656, 480, -870, 4264, -12180, 25433, -33120, 21147;
...

Crossrefs

Cf. A152431, A000110

Sequence in context: A074765 A029045 A363404 * A308856 A308922 A308978

Adjacent sequences: A152429 A152430 A152431 * A152433 A152434 A152435

Keyword

tabl,sign

Author

Gary W. Adamson, Dec 04 2008

Status

approved