A120141 - OEIS

%I #21 May 14 2023 12:43:21

%S 14,21,32,48,72,108,162,243,364,546,819,1229,1843,2765,4147,6221,9331,

%T 13997,20995,31493,47239,70859,106288,159432,239148,358722,538083,

%U 807125,1210687,1816031,2724046,4086069,6129104,9193656,13790484

%N a(n) = 14 + floor( (1 + Sum_{j=0..n-1} a(j)) / 2).

%H Harvey P. Dale, <a href="/A120141/b120141.txt">Table of n, a(n) for n = 1..1000</a>

%t nxt[{t_,a_}]:=Module[{a2=14+Floor[(1+t)/2]},{t+a2,a2}]; NestList[nxt,{0,14},60][[All,2]]//Rest (* _Harvey P. Dale_, Nov 28 2018 *)

%o (SageMath)

%o @CachedFunction

%o def A120141(n): return 14 +(1 +sum(A120141(k) for k in range(1,n)))//2

%o [A120141(n) for n in range(1,60)] # _G. C. Greubel_, May 11 2023

%Y Cf. A073941, A072493, A112088, A120134 - A120140, A120142 - A120209.

%K nonn

%O 1,1

%A _Graeme McRae_, Jun 10 2006