OFFSET
0,1
COMMENTS
(lim_ {n->oo} s(n)) = g = (1 + sqrt (3))/2. See A298512 for a guide to related sequences.
EXAMPLE
s(n) -> g = (1+sqrt(3))/2.
(n+1)*g - s(0) - s(1) - ... - s(n) -> 0.590731681518077574185979517684194787...
MATHEMATICA
s[0] = 1; d = 1/2; 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 ];
StringJoin[StringTake[ToString[s], 41], "..."]
RealDigits[s, 10][[1]] (* A298515 *)
CROSSREFS
KEYWORD
AUTHOR
Clark Kimberling, Feb 11 2018
STATUS
approved