A055374 Invert transform applied three times to Pascal's triangle A007318.

1, 1, 1, 4, 8, 4, 16, 48, 48, 16, 64, 256, 384, 256, 64, 256, 1280, 2560, 2560, 1280, 256, 1024, 6144, 15360, 20480, 15360, 6144, 1024, 4096, 28672, 86016, 143360, 143360, 86016, 28672, 4096, 16384, 131072, 458752, 917504, 1146880, 917504

Offset

0,4

Comments

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

Links

Table of n, a(n) for n=0..41.

N. J. A. Sloane, Transforms

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

Formula

a(n,k) = 4^(n-1)*C(n, k), for n>0.

G.f.: (-1+3*x+3*x*y)/(-1+4*x+4*x*y). - R. J. Mathar, Aug 12 2015

Example

   1;
   1,   1;
   4,   8,   4;
  16,  48,  48,  16;
  64, 256, 384, 256, 64; ...

Crossrefs

Cf. A000302, A007318, A055372, A055373.

Sequence in context: A087260 A019254 A304293 * A275876 A255293 A019246

Adjacent sequences: A055371 A055372 A055373 * A055375 A055376 A055377

Keyword

nonn,tabl,easy

Author

Christian G. Bower, May 16 2000

Status

approved