The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A298516 Decimal expansion of lim_ {n->oo} (2n+2 - s(0) - s(1) - ... - s(n)), where s(n) = ((s(n - 1) + 2)^(1/2), s(0) = 1. 4
 1, 3, 5, 8, 9, 1, 7, 7, 6, 2, 8, 4, 2, 7, 8, 8, 3, 4, 0, 3, 9, 5, 8, 3, 7, 6, 7, 2, 1, 8, 7, 1, 0, 5, 9, 4, 5, 2, 3, 4, 3, 8, 5, 5, 1, 8, 4, 3, 8, 5, 5, 5, 8, 3, 0, 0, 8, 6, 9, 2, 3, 6, 4, 3, 5, 5, 6, 7, 6, 9, 1, 5, 7, 2, 8, 2, 3, 5, 6, 2, 9, 4, 1, 5, 7, 4 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS See A298512 for a guide to related sequences. LINKS EXAMPLE 2n + 2 - s(0) - s(1) - ... - s(n) -> 1.358917762842788340395837672187105945234... MATHEMATICA s[0] = 1; d = 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], "..."] u = RealDigits[s, 10][[1]]   (* A298516 *) CROSSREFS Cf. A298512, A298516, A298517. Sequence in context: A139125 A186697 A077523 * A157291 A107820 A191931 Adjacent sequences:  A298513 A298514 A298515 * A298517 A298518 A298519 KEYWORD nonn,easy,cons AUTHOR Clark Kimberling, Feb 11 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 | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 2 17:30 EST 2021. Contains 349445 sequences. (Running on oeis4.)