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A055374 Invert transform applied three times to Pascal's triangle A007318. 2
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 (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, 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

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Last modified May 24 19:08 EDT 2020. Contains 334580 sequences. (Running on oeis4.)