OFFSET
0,1
COMMENTS
(lim_ {n->oo} s(n)) = g = real zero of x^3 - x - 1. See A298512 for a guide to related sequences.
EXAMPLE
s(0) + s(1) + ... + s(n) - (n+1)*g -> 0.819904707664104372564776035917499198052...
MATHEMATICA
s[0] = 2; d = 1; p = 1/3;
g = (x /. NSolve[x^(1/p) - x - d == 0, x, 200])[[3]]
s[n_] := s[n] = (s[n - 1] + d)^p
N[Table[s[n], {n, 0, 30}]]
s = N[Sum[-g + s[n], {n, 0, 200}], 150 ];
RealDigits[s, 10][[1]] (* A298519 *)
CROSSREFS
KEYWORD
AUTHOR
Clark Kimberling, Feb 11 2018
STATUS
approved