A394440 a(n) = Sum_{k=0..n} Sum_{j=0..k} 2^(n - j) * j! * Stirling2(n, j). Row sums of A394442.

1, 1, 6, 42, 368, 3920, 49072, 705040, 11428608, 206264064, 4101145088, 89058303488, 2096974839808, 53211247218688, 1447517715093504, 42021824434292736, 1296647478998663168, 42377209626843348992, 1462318969075732971520, 53128690694693099536384, 2027179147327494593445888

Offset

0,3

Links

Table of n, a(n) for n=0..20.

Maple

a := n -> local j, k; add(add(2^(n - j)*j!*Stirling2(n, j), j = 0..k), k = 0..n): seq(a(n), n = 0..20);

Crossrefs

Cf. A394442.

Sequence in context: A052589 A074107 A391678 * A187121 A225497 A336950

Adjacent sequences: A394437 A394438 A394439 * A394441 A394442 A394443

Keyword

nonn

Author

Peter Luschny, Mar 27 2026

Status

approved