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