The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A298530 Decimal expansion of lim_ {n->oo} ((n+1)*g - s(0) - s(1) - ... - s(n)), where g = 2.3416277185114784317..., s(n) = (s(n - 1) + Pi)^(1/2), s(0) = 1. 3
 1, 7, 3, 2, 6, 4, 4, 0, 7, 0, 0, 6, 1, 4, 8, 5, 8, 0, 4, 1, 2, 4, 7, 1, 6, 6, 6, 7, 2, 2, 1, 9, 6, 0, 8, 7, 0, 3, 9, 4, 1, 5, 6, 4, 4, 6, 4, 2, 6, 1, 4, 3, 5, 9, 5, 0, 5, 0, 2, 4, 4, 7, 5, 8, 7, 8, 3, 1, 4, 2, 1, 7, 6, 9, 7, 6, 7, 4, 0, 0, 5, 9, 9, 3, 0, 8 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 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} ((n+1)*g-s(0)-s(1)-...-s(n)) -> 1.732644070061485804124716667... MATHEMATICA s[0] = 1; 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]] (* A298530 *) CROSSREFS Cf. A298512, A298531. Sequence in context: A153205 A340485 A309387 * A243377 A245532 A324714 Adjacent sequences: A298527 A298528 A298529 * A298531 A298532 A298533 KEYWORD nonn,easy,cons AUTHOR Clark Kimberling, Feb 12 2018 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified February 26 11:42 EST 2024. Contains 370352 sequences. (Running on oeis4.)