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A301477 T(n,k) = Sum_{j=0..n-k} H(n,j)*2^k with H(n,k) = binomial(n,k)* hypergeom([-k/2, 1/2-k/2], [2-k+n], 4), for 0 <= k <= n, triangle read by rows. 1
1, 2, 2, 5, 6, 4, 13, 18, 16, 8, 35, 52, 56, 40, 16, 96, 150, 180, 160, 96, 32, 267, 432, 560, 568, 432, 224, 64, 750, 1246, 1708, 1904, 1680, 1120, 512, 128, 2123, 3600, 5152, 6160, 6048, 4736, 2816, 1152, 256, 6046, 10422, 15432, 19488, 20736, 18240, 12864, 6912, 2560, 512 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..54.

EXAMPLE

                               1

                              2, 2

                            5, 6, 4

                         13, 18, 16, 8

                       35, 52, 56, 40, 16

                   96, 150, 180, 160, 96, 32

                267, 432, 560, 568, 432, 224, 64

          750, 1246, 1708, 1904, 1680, 1120, 512, 128

      2123, 3600, 5152, 6160, 6048, 4736, 2816, 1152, 256

MAPLE

H := (n, k) -> binomial(n, k)*hypergeom([-k/2, 1/2-k/2], [2-k+n], 4):

T := (n, k) -> add(simplify(H(n, j)*2^k), j=0..n-k):

seq(seq(T(n, k), k=0..n), n=0..9);

CROSSREFS

Row sums are A126932, first column A005773, diagonal A000079.

Cf. A301475 (general case).

Sequence in context: A068763 A176989 A250303 * A261895 A112573 A233740

Adjacent sequences:  A301474 A301475 A301476 * A301478 A301479 A301480

KEYWORD

nonn,tabl

AUTHOR

Peter Luschny, Mar 22 2018

STATUS

approved

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Last modified October 19 15:34 EDT 2021. Contains 348091 sequences. (Running on oeis4.)