A120142 -id:A120142 - cp's OEIS frontend

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

Graeme McRae, Jun 10 2006

nonn

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

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

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 *)

@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

A120143 a(n) = 17 + floor( (1 + Sum_{j=0..n-1} a(j))/2 ).

Original entry on oeis.org

17, 26, 39, 58, 87, 131, 196, 294, 441, 662, 993, 1489, 2234, 3351, 5026, 7539, 11309, 16963, 25445, 38167, 57251, 85876, 128814, 193221, 289832, 434748, 652122, 978183, 1467274, 2200911, 3301367, 4952050, 7428075, 11142113, 16713169

Offset: 1

Graeme McRae, Jun 10 2006

nonn

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

Cf. A073941, A072493, A112088, A120134 - A120142, A120144 - A120209.

nxt[{t_,a_}]:=Module[{c=17+Floor[(1+t)/2]},{t+c,c}]; NestList[nxt,{17,17},60][[All,2]] (* Harvey P. Dale, Dec 25 2020 *)

@CachedFunction
def A120143(n): return 17 + (1 +sum(A120143(k) for k in range(1,n)))//2
[A120143(n) for n in range(1,60)] # G. C. Greubel, May 11 2023

cp's OEIS Frontend

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

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