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A337617 T(n, k) = (n + 1)*2^(n + k)*hypergeom([-n, k - n + 1], [2], 1/2), triangle read by rows for 0 <= k <= n. 1
1, 4, 6, 18, 24, 28, 88, 112, 128, 120, 450, 560, 640, 640, 496, 2364, 2904, 3328, 3456, 3072, 2016, 12642, 15400, 17696, 18816, 17920, 14336, 8128, 68464, 82912, 95488, 103168, 102400, 90112, 65536, 32640, 374274, 451296, 520704, 569088, 580608, 540672, 442368, 294912, 130816 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..44.

EXAMPLE

Triangle starts:

[0]                                1

[1]                              4, 6

[2]                           18, 24, 28

[3]                       88, 112, 128, 120

[4]                    450, 560, 640, 640, 496

[5]               2364, 2904, 3328, 3456, 3072, 2016

[6]         12642, 15400, 17696, 18816, 17920, 14336, 8128

[7]    68464, 82912, 95488, 103168, 102400, 90112, 65536, 32640

MAPLE

T := (n, k) -> simplify((n + 1)*2^(n + k)*hypergeom([-n, k - n + 1], [2], 1/2)):

seq(seq(T(n, k), k=0..n), n=0..8);

CROSSREFS

T(n, n) = A171476(n) = A006516(n+1). T(n, 0) = A050146(n+1).

Cf. A337992 (row sums).

Sequence in context: A125133 A109310 A219190 * A120391 A064217 A026623

Adjacent sequences:  A337614 A337615 A337616 * A337618 A337619 A337620

KEYWORD

nonn,tabl

AUTHOR

Peter Luschny, Oct 19 2020

STATUS

approved

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Last modified May 16 14:38 EDT 2022. Contains 353704 sequences. (Running on oeis4.)