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A137650 Triangle read by rows, A008277 * A000012. 6
1, 2, 1, 5, 4, 1, 15, 14, 7, 1, 52, 51, 36, 11, 1, 203, 202, 171, 81, 16, 1, 877, 876, 813, 512, 162, 22, 1, 4140, 4139, 4012, 3046, 1345, 295, 29, 1, 21147, 21146, 20891, 17866, 10096, 3145, 499, 37, 1, 115975, 115974, 115463 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Left column = Bell numbers (A000110) starting (1, 2, 5, 15, 52, 203,...). Row sums = A005493(n+1): (1, 3, 10, 37, 151, 674,...).

Corresponding to the generalized Stirling number triangle of first kind A049444. - Peter Luschny, Sep 18 2011

LINKS

Table of n, a(n) for n=1..48.

FORMULA

A008277 * A000012 as infinite lower triangular matrices. Partial sums of A008277 rows starting from the right.

EXAMPLE

First few rows of the triangle are:

1;

2, 1;

5, 4, 1;

15, 14, 7, 1;

52, 51, 36, 11, 1;

203, 202, 171, 81, 16, 1;

877, 876, 813, 512, 162, 22, 1;

...

MAPLE

A137650_row := proc(n) local k, i;

add(add(combinat[stirling2](n, n-i), i=0..k)*x^(n-k-1), k=0..n-1);

seq(coeff(%, x, k), k=0..n-1) end:

seq(print(A137650_row(n)), n=1..7); # Peter Luschny, Sep 18 2011

CROSSREFS

Cf. A000110, A008277, A005493, A049444.

Sequence in context: A126181 A154930 A104259 * A171515 A110271 A073107

Adjacent sequences:  A137647 A137648 A137649 * A137651 A137652 A137653

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, Feb 01 2008

STATUS

approved

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Last modified May 23 23:53 EDT 2017. Contains 286937 sequences.