A323613 Antidiagonal sums of A323182.

1, 1, 2, 8, 27, 105, 492, 2584, 14893, 93625, 637342, 4663856, 36455959, 302825585, 2661650680, 24662914640, 240141823417, 2450053360913, 26125165902810, 290487741343352, 3361177509359859, 40396577112990745, 503447944487902244, 6496090993661295784, 86660903426459105701

Offset

0,3

Links

Seiichi Manyama, Table of n, a(n) for n = 0..532

Index entries for sequences related to Chebyshev polynomials.

Example

a(1) = 0 + 1 = 1.
a(2) = -1 + 2 + 1 = 2.
a(3) = 0 + 3 + 4 + 1 = 8.

Mathematica

Table[Sum[ChebyshevU[k, n - k], {k, 0, n}], {n, 0, 30}] (* Vaclav Kotesovec, Jan 20 2019 *)

Prog

(PARI) {a(n) = sum(k=0, n, polchebyshev(k, 2, n-k))}

Crossrefs

Cf. A101125, A323182.

Sequence in context: A096647 A054109 A305256 * A150710 A150711 A150712

Adjacent sequences: A323610 A323611 A323612 * A323614 A323615 A323616

Keyword

nonn

Author

Seiichi Manyama, Jan 20 2019

Status

approved