A004522 Generalized nim sum n + n in base 12.

0, 2, 4, 6, 8, 10, 0, 2, 4, 6, 8, 10, 24, 26, 28, 30, 32, 34, 24, 26, 28, 30, 32, 34, 48, 50, 52, 54, 56, 58, 48, 50, 52, 54, 56, 58, 72, 74, 76, 78, 80, 82, 72, 74, 76, 78, 80, 82, 96, 98, 100, 102, 104, 106, 96, 98, 100, 102, 104, 106, 120, 122, 124, 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 = 12; d = dec2base(n, q)-'0'; d(d>q-1) = d(d>q-1)-7;
a = base2dec(dec2base(mod(2*d, q)', q)', q); % Chris R. Rehmann, Oct 06 2025

Crossrefs

Column k=12 of A389424.

Sequence in context: A340606 A276138 A114973 * A004521 A103694 A372144

Adjacent sequences: A004519 A004520 A004521 * A004523 A004524 A004525

Keyword

nonn,base

Author

N. J. A. Sloane

Status

approved