A380116 a(n) = Sum_{k=0..n} A011971(n, k)*k. The Aitken-Bell triangle considered as a linear transform applied to the nonnegative numbers.

0, 2, 13, 72, 393, 2202, 12850, 78488, 502327, 3366648, 23597297, 172691956, 1317276400, 10455135350, 86200363093, 737106122656, 6527505175609, 59780020466870, 565446090755746, 5517274559079820, 55470610206913511, 574043981110581992, 6108574536700411929, 66779470651426032840

Offset: 0

Author

Peter Luschny, Feb 01 2025

Keywords

• nonn

Crossrefs

Cf. A011971, A278677.

Programs

Maple

BellTriangle := A011971: seq(add(BellTriangle(n, k)*k, k=0..n), n=0..23);