OFFSET
1,4
COMMENTS
(lim_ {n->oo} s(n)) = g = positive zero of x^2 - x - sqrt(2). See A298512 for a guide to related sequences.
EXAMPLE
(n+1)*g - s(0) - s(1) - ... - s(n) -> 1.119791807304608296546488960103955059141...
MATHEMATICA
s[0] = 1; d = Sqrt[2]; 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]] (* A298524 *)
CROSSREFS
KEYWORD
AUTHOR
Clark Kimberling, Feb 12 2018
STATUS
approved