A301347 a(n) = n^(n-1) + (n-1)!.

2, 3, 11, 70, 649, 7896, 118369, 2102192, 43087041, 1000362880, 25941053401, 743048287488, 23298564124081, 793721000274944, 29193013203681825, 1152922812281214976, 48661212798456756481, 2185911915426124627968, 104127356700284947260841, 5242880121645100408832000

Offset

1,1

Links

Seiichi Manyama, Table of n, a(n) for n = 1..387

Formula

a(n) = A053042(n)/n.

a(n) = A000169(n) + A000142(n-1).

Mathematica

Array[#^(# - 1) + (# - 1)! &, 20] (* Michael De Vlieger, Mar 19 2018 *)

Prog

(PARI) a(n) = n^(n-1) + (n-1)! \\ Altug Alkan, Mar 19 2018

Crossrefs

Cf. A000142, A000169, A053042, A126130.

Sequence in context: A219513 A001052 A184310 * A241811 A349518 A155187

Adjacent sequences: A301344 A301345 A301346 * A301348 A301349 A301350

Keyword

nonn

Author

Seiichi Manyama, Mar 19 2018

Status

approved