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

0,2

Links

Table of n, a(n) for n=0..23.

Maple

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

Crossrefs

Cf. A011971, A278677.

Sequence in context: A097349 A289790 A109112 * A163190 A242991 A240549

Adjacent sequences: A380113 A380114 A380115 * A380117 A380118 A380119

Keyword

nonn

Author

Peter Luschny, Feb 01 2025

Status

approved