A269967 Indices of zeros in A269783.

0, 1, 4, 7, 15, 23, 40, 55, 85, 111, 158, 197, 265, 323, 416, 493, 615, 719, 874, 1005, 1197, 1361, 1594, 1793, 2071, 2313, 2640, 2921, 3301, 3633, 4070, 4453, 4951, 5389, 5952, 6447, 7079, 7641, 8346, 8971, 9753, 10453, 11316, 12087, 13035, 13885, 14922

Offset

1,3

Comments

Sequence A269783 is defined by A269783(0)=0 and A269783(n+1) = A269783(n) + (-1)^(k+e)*floor(k/2), where k = #{ j<=n | A269783(j)=A269783(n) } and e=1 for A269783(n)>0, else e=0. That is, the 1st, 2nd, 3rd, 4th... occurrence of any positive integer n is followed by n resp. n-1 resp. n+1 resp. n-2, etc., and for zero or negative integers the same with opposite sign.

Links

Rémy Sigrist, Table of n, a(n) for n = 1..10000

Rémy Sigrist, C++ program

Prog

(C++) See Links section.

Crossrefs

Cf. A269783 (main sequence), A269968 (index of first occurrence of n), A269969 (index of first occurrence of -n).

Sequence in context: A356714 A039669 A109622 * A124286 A235603 A295728

Adjacent sequences: A269964 A269965 A269966 * A269968 A269969 A269970

Keyword

nonn

Author

M. F. Hasler, Mar 08 2016

Extensions

More terms from Rémy Sigrist, May 21 2023

Status

approved