A154426 a(n) = n + (sum of preceding terms) mod n; a(0) = 0.

0, 1, 3, 4, 4, 7, 7, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, 100, 102, 104, 106, 108, 110, 112, 114, 116, 118, 120, 122, 124, 126, 128, 130

Offset

0,3

Comments

a(n) = 2*(n-1) for n > 6.

Links

Table of n, a(n) for n=0..66.

Index entries for linear recurrences with constant coefficients, signature (2,-1).

Formula

G.f.: -x*(3*x^7-5*x^6+3*x^5-3*x^4+x^3+x^2-x-1)/(x-1)^2. - Alois P. Heinz, Nov 30 2025

Mathematica

s={0}; Do[AppendTo[s, n+Mod[Total[s], n]], {n, 66}]; s (* James C. McMahon, Nov 30 2025 *)

Crossrefs

Cf. A000217.

Sequence in context: A127141 A272668 A014406 * A231219 A231343 A075773

Adjacent sequences: A154423 A154424 A154425 * A154427 A154428 A154429

Keyword

nonn,easy

Author

Reinhard Zumkeller, Jan 09 2009

Status

approved