OFFSET
0,2
COMMENTS
(lim_ {n->oo} s(n)) = g = (1 + sqrt (13))/2. See A298512 for a guide to related sequences.
EXAMPLE
((n + 1)*g - s(0) - s(1) - ... - s(n)) -> 0.91504984801513491484363121460300...
MATHEMATICA
s[0] = 1; d = 3; p = 1/2; s[n_] := s[n] = (s[n - 1] + d)^p
N[Table[s[n], {n, 0, 30}]]
z = 200 ; g = (1 + Sqrt[13])/2;
s = N[(z + 1)*g - Sum[s[n], {n, 0, z}], 150 ];
RealDigits[s, 10][[1]]; (* A298517 *)
CROSSREFS
KEYWORD
AUTHOR
Clark Kimberling, Feb 11 2018
STATUS
approved