A079609 a(p) = (b(p)-2)/p where b(k) denotes the k-th Bell number and p runs through the prime numbers.

0, 1, 10, 125, 61688, 2126495, 4874404106, 306986431845, 1919652428481928, 2459993170305526730730, 332043836975044402745021, 1428874762393255348701231773647, 57345183115624820200016928713263146

Offset

1,3

Links

Amiram Eldar, Table of n, a(n) for n = 1..106

Formula

a(p) = ((Sum_{k>=0} k^p/k!)/e-2)/p.

Mathematica

Table[(BellB[(p = Prime[i])] - 2)/p, {i, 1, 10}] (* Amiram Eldar, Nov 23 2019 *)

Crossrefs

Cf. A000110.

Sequence in context: A281595 A097816 A323877 * A101599 A002458 A366234

Adjacent sequences: A079606 A079607 A079608 * A079610 A079611 A079612

Keyword

nonn

Author

Benoit Cloitre, Jan 28 2003

Status

approved