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 A080869 a(n+1) = floor( (a(n) + 1)^(1 + 1/n) ), with a(1) = 1. 3

%I

%S 1,4,11,27,64,149,345,797,1839,4242,9782,22554,52001,119892,276417,

%T 637290,1469294,3387506,7810005,18006217,41513909,95711641,220666238,

%U 508753041,1172946341,2704265147,6234769423,14374459471,33140774109

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

%H Paul D. Hanna, <a href="/A080869/b080869.txt">Table of n, a(n) for n = 1..5000</a>

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

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

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

%Y Cf. A059923, A080870.

%K nonn

%O 1,2

%A _Paul D. Hanna_, Feb 21 2003

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Last modified February 26 05:36 EST 2020. Contains 332276 sequences. (Running on oeis4.)