OFFSET
1,4
COMMENTS
(lim_ {n->oo} s(n)) = g = positive zero of x^2 - x - Pi. See A298512 for a guide to related sequences.
EXAMPLE
lim_ {n->oo} (s(0) + s(1) + ... + s(n) - (n+1)*g) -> 1.009415125594648468509...
MATHEMATICA
s[0] = Pi; d = Pi; p = 1/2;
g = (x /. NSolve[x^(1/p) - x - d == 0, x, 200])[[2]]
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]] (* A298531 *)
CROSSREFS
KEYWORD
AUTHOR
Clark Kimberling, Feb 12 2018
STATUS
approved