A080869 a(n+1) = floor( (a(n) + 1)^(1 + 1/n) ), with a(1) = 1.

1, 4, 11, 27, 64, 149, 345, 797, 1839, 4242, 9782, 22554, 52001, 119892, 276417, 637290, 1469294, 3387506, 7810005, 18006217, 41513909, 95711641, 220666238, 508753041, 1172946341, 2704265147, 6234769423, 14374459471, 33140774109

Offset

1,2

Links

Paul D. Hanna, Table of n, a(n) for n = 1..5000

Formula

a(n) = floor(t^n) - 1, where t = 2.30553184793480801944987312451742393976098898...

Example

Given a(4)=27, then a(5)=64 because 64=floor((27+1)^(5/4)).

Mathematica

nxt[{n_, a_}]:={n+1, Floor[(a+1)^(1+1/n)]}; NestList[nxt, {1, 1}, 30][[All, 2]] (* Harvey P. Dale, Jul 15 2018 *)

Crossrefs

Cf. A059923, A080870.

Sequence in context: A047859 A100335 A340228 * A137229 A301874 A027439

Adjacent sequences: A080866 A080867 A080868 * A080870 A080871 A080872

Keyword

nonn

Author

Paul D. Hanna, Feb 21 2003

Status

approved