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A055883 Exponential transform of Pascal's triangle A007318. 1
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,  1;

   2,  4,  2;

   5, 15, 15,  5;

  15, 60, 90, 60, 15; ...

CROSSREFS

Cf. A000110, A007318. Row sums give A055882.

Sequence in context: A268740 A120493 A085880 * A085843 A198715 A216663

Adjacent sequences:  A055880 A055881 A055882 * A055884 A055885 A055886

KEYWORD

nonn,tabl

AUTHOR

Christian G. Bower, Jun 09 2000

STATUS

approved

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Last modified December 2 20:44 EST 2020. Contains 338891 sequences. (Running on oeis4.)