A120141 a(n) = 14 + floor( (1 + Sum_{j=0..n-1} a(j)) / 2).

14, 21, 32, 48, 72, 108, 162, 243, 364, 546, 819, 1229, 1843, 2765, 4147, 6221, 9331, 13997, 20995, 31493, 47239, 70859, 106288, 159432, 239148, 358722, 538083, 807125, 1210687, 1816031, 2724046, 4086069, 6129104, 9193656, 13790484

Offset: 1

Author

Graeme McRae, Jun 10 2006

Keywords

• nonn

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..1000

Crossrefs

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

Programs

Mathematica

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 *)

SageMath

@CachedFunction
def A120141(n): return 14 +(1 +sum(A120141(k) for k in range(1,n)))//2
[A120141(n) for n in range(1,60)] # G. C. Greubel, May 11 2023