A374427 Triangle read by rows: T(n, k) = n! * 2^k * hypergeom([-k], [-n], -1/2).

1, 1, 1, 2, 3, 5, 6, 10, 17, 29, 24, 42, 74, 131, 233, 120, 216, 390, 706, 1281, 2329, 720, 1320, 2424, 4458, 8210, 15139, 27949, 5040, 9360, 17400, 32376, 60294, 112378, 209617, 391285, 40320, 75600, 141840, 266280, 500184, 940074, 1767770, 3325923, 6260561

Offset

0,4

Links

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

Mathematica

T[n_, k_] := n! 2^k Hypergeometric1F1[-k, -n, -1/2];
Table[T[n, k], {n, 0, 7}, {k, 0, n}] // Flatten

Crossrefs

Cf. A000354 (main diagonal), A374428.

Sequence in context: A161715 A347799 A335597 * A164523 A227305 A326612

Adjacent sequences: A374424 A374425 A374426 * A374428 A374429 A374430

Keyword

nonn,tabl,new

Author

Peter Luschny, Jul 28 2024

Status

approved