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 A298531 Decimal expansion of lim_ {n->oo} (s(0) + s(1) + ... + s(n) - (n+1)*g), where g = 2.3416277185114784317..., s(n) = (s(n - 1) + Pi)^(1/2), s(0) = Pi. 4
 1, 0, 0, 9, 4, 1, 5, 1, 2, 5, 5, 9, 4, 6, 4, 8, 4, 6, 8, 5, 0, 9, 6, 1, 8, 9, 7, 2, 1, 8, 6, 8, 6, 2, 3, 4, 3, 9, 2, 3, 8, 6, 4, 4, 0, 2, 8, 6, 2, 9, 0, 8, 8, 9, 2, 2, 7, 5, 1, 6, 3, 5, 7, 5, 5, 3, 6, 9, 9, 4, 1, 9, 4, 6, 7, 3, 9, 1, 0, 8, 2, 6, 0, 9, 7, 7 (list; constant; graph; refs; listen; history; text; internal format)
 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. LINKS Table of n, a(n) for n=1..86. 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 Cf. A298512, A298530. Sequence in context: A286229 A242611 A098454 * A154206 A349624 A094881 Adjacent sequences: A298528 A298529 A298530 * A298532 A298533 A298534 KEYWORD nonn,easy,cons AUTHOR Clark Kimberling, Feb 12 2018 STATUS approved

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Last modified September 12 12:46 EDT 2024. Contains 375851 sequences. (Running on oeis4.)