A120144 -id:A120144 - cp's OEIS frontend

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

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

A120145 a(n) = 20 + floor( (1 + Sum_{j=1..n-1} a(j)) / 2 ).

Original entry on oeis.org

20, 30, 45, 68, 102, 153, 229, 344, 516, 774, 1161, 1741, 2612, 3918, 5877, 8815, 13223, 19834, 29751, 44627, 66940, 100410, 150615, 225923, 338884, 508326, 762489, 1143734, 1715601, 2573401, 3860102, 5790153, 8685229, 13027844

Offset: 1

Graeme McRae, Jun 10 2006

nonn

G. C. Greubel, Table of n, a(n) for n = 1..1000

Cf. A073941, A072493, A112088, A120134 - A120144, A120146 - A120209.

a[n_]:= a[n]= 20 +Quotient[1 +Sum[a[k], {k,n-1}], 2];
Table[a[n], {n,60}] (* G. C. Greubel, May 14 2023 *)

@CachedFunction
def A120145(n): return 20 + (1+sum(A120145(k) for k in range(1,n)))//2
[A120145(n) for n in range(1,61)] # G. C. Greubel, May 14 2023

cp's OEIS Frontend

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

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