A055883 - OEIS

A055883

Exponential transform of Pascal's triangle A007318.

1, 1, 1, 2, 4, 2, 5, 15, 15, 5, 15, 60, 90, 60, 15, 52, 260, 520, 520, 260, 52, 203, 1218, 3045, 4060, 3045, 1218, 203, 877, 6139, 18417, 30695, 30695, 18417, 6139, 877, 4140, 33120, 115920, 231840, 289800, 231840, 115920, 33120, 4140, 21147

(list; table; graph; refs; listen; history; text; internal format)

OFFSET

0,4

COMMENTS

Triangle T(n,k), 0 <= k <= n, read by rows, given by [1, 1, 1, 2, 1, 3, 1, 4, 1, 5, 1, 6, ...] DELTA [1, 1, 1, 2, 1, 3, 1, 4, 1, 5, 1, 6, ...] where DELTA is the operator defined in A084938. - Philippe Deléham, Aug 10 2005

LINKS

Table of n, a(n) for n=0..45.

N. J. A. Sloane, Transforms

Index entries for triangles and arrays related to Pascal's triangle

FORMULA

a(n,k) = Bell(n)*C(n,k).

E.g.f.: A(x,y) = exp(exp(x+xy)-1).

EXAMPLE

1, 1;

2, 4, 2;

5, 15, 15, 5;

15, 60, 90, 60, 15; ...