A004517 Generalized nim sum n + n in base 7.

0, 2, 4, 6, 1, 3, 5, 14, 16, 18, 20, 15, 17, 19, 28, 30, 32, 34, 29, 31, 33, 42, 44, 46, 48, 43, 45, 47, 7, 9, 11, 13, 8, 10, 12, 21, 23, 25, 27, 22, 24, 26, 35, 37, 39, 41, 36, 38, 40, 98, 100, 102, 104, 99, 101, 103, 112, 114, 116, 118, 113, 115, 117, 126

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 03 2025

Crossrefs

Column k=7 of A389424.

Sequence in context: A077069 A261596 A080413 * A254350 A357049 A386435

Adjacent sequences: A004514 A004515 A004516 * A004518 A004519 A004520

Keyword

nonn,base

Author

N. J. A. Sloane

Status

approved