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 A298519 Decimal expansion of lim_ {n->oo} (s(0) + s(1) + ... + s(n) - (n+1)*g), where g = 1.324717957..., s(n) = ((s(n - 1) + 1)^(1/3), s(0) = 2. 4
 8, 1, 9, 9, 0, 4, 7, 0, 7, 6, 6, 4, 1, 0, 4, 3, 7, 2, 5, 6, 4, 7, 7, 6, 0, 3, 5, 9, 1, 7, 4, 9, 9, 1, 9, 8, 0, 5, 2, 9, 0, 6, 1, 3, 1, 9, 6, 1, 2, 5, 0, 4, 9, 2, 5, 1, 4, 9, 4, 1, 3, 4, 4, 9, 0, 5, 9, 2, 2, 3, 8, 5, 0, 9, 2, 3, 4, 3, 7, 3, 1, 5, 9, 0, 5, 3 (list; constant; graph; refs; listen; history; text; internal format)
 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. LINKS 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 Cf. A298512, A298518, A298520. Sequence in context: A332079 A196765 A182526 * A238271 A217430 A106627 Adjacent sequences:  A298516 A298517 A298518 * A298520 A298521 A298522 KEYWORD nonn,easy,cons AUTHOR Clark Kimberling, Feb 11 2018 STATUS approved

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Last modified June 22 16:35 EDT 2021. Contains 345388 sequences. (Running on oeis4.)