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A152433 Triangle read by rows, A000012^(-1) * A152431 1
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 (list; table; graph; refs; listen; history; text; internal format)
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 * A094344 A211183 A137391

Adjacent sequences:  A152430 A152431 A152432 * A152434 A152435 A152436

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, Dec 04 2008

STATUS

approved

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Last modified October 21 21:25 EDT 2021. Contains 348155 sequences. (Running on oeis4.)