A065056 Partial sums of Recamán's sequence A005132.

0, 1, 4, 10, 12, 19, 32, 52, 64, 85, 96, 118, 128, 151, 160, 184, 192, 217, 260, 322, 364, 427, 468, 486, 528, 545, 588, 604, 648, 663, 708, 722, 768, 847, 960, 1038, 1152, 1229, 1268, 1346, 1384, 1463, 1500, 1580, 1616, 1697, 1732, 1814, 1848

Offset

0,3

Comments

Conjecture: lim n-->oo a(n)/n^2 exists and is about 0.8... - Benoit Cloitre, May 04 2020

Links

N. J. A. Sloane, Table of n, a(n) for n = 0..100000

Index entries for sequences related to Recamán's sequence

Mathematica

rr = {0}; r[0] = 0;
r[n_] := r[n] = Module[{r1, rn}, r1 = r[n-1]; rn = If[r1-n >= 0 && FreeQ[rr, r1-n], r1-n, r1+n]; AppendTo[rr, rn]; rn];
Table[r[n], {n, 0, 100}] // Accumulate (* Jean-François Alcover, Aug 31 2022 *)

Crossrefs

Cf. A005132.

Sequence in context: A310342 A310343 A199765 * A310344 A310345 A310346

Adjacent sequences: A065053 A065054 A065055 * A065057 A065058 A065059

Keyword

nonn

Author

N. J. A. Sloane, Nov 07 2001

Status

approved