A277396 Coefficients in asymptotic expansion of sequence A277175.

1, 1, 2, 7, 31, 163, 979, 6556, 48150, 383219, 3275121, 29841176, 288196506, 2936030427, 31425237185, 352166075233, 4119800015129, 50180781755797, 634948818421481, 8329111076372852, 113065244341635514, 1585699911447149109, 22942071009006046159

Offset

0,3

Links

Vaclav Kotesovec, Table of n, a(n) for n = 0..100

Example

A277175(n) / n! ~ 1 + 1/n + 2/n^2 + 7/n^3 + 31/n^4 + 163/n^5 + 979/n^6 + ...

Mathematica

Flatten[{1, Table[Sum[CatalanNumber[j]*StirlingS2[n-1, j-1], {j, 1, n}], {n, 1, 25}]}]

Crossrefs

Cf. A277175.

Sequence in context: A009132 A125275 A007446 * A227119 A002872 A105216

Adjacent sequences: A277393 A277394 A277395 * A277397 A277398 A277399

Keyword

nonn

Author

Vaclav Kotesovec, Oct 13 2016

Status

approved