A004519 - OEIS

A004519

Generalized nim sum n + n in base 9.

0, 2, 4, 6, 8, 1, 3, 5, 7, 18, 20, 22, 24, 26, 19, 21, 23, 25, 36, 38, 40, 42, 44, 37, 39, 41, 43, 54, 56, 58, 60, 62, 55, 57, 59, 61, 72, 74, 76, 78, 80, 73, 75, 77, 79, 9, 11, 13, 15, 17, 10, 12, 14, 16, 27, 29, 31, 33, 35, 28, 30, 32, 34, 45, 47, 49, 51, 53

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

LINKS

Chris R. Rehmann, Table of n, a(n) for n = 0..10000

Index entries for sequences related to Nim-sums

FORMULA

Generalized nim sum m + n in base q: write m and n in base q and add mod q with no carries; e.g., 5 + 8 in base 3 = "21" + "22" = "10" = 1.

PROG

(MATLAB) q = 7; a = @(n) base2dec(num2str(mod(2*(dec2base(n, q)-'0'), q)')', q); % Chris R. Rehmann, Oct 04 2025

CROSSREFS

Column k=9 of A389424.