A004521 Generalized nim sum n + n in base 11.

0, 2, 4, 6, 8, 10, 1, 3, 5, 7, 9, 22, 24, 26, 28, 30, 32, 23, 25, 27, 29, 31, 44, 46, 48, 50, 52, 54, 45, 47, 49, 51, 53, 66, 68, 70, 72, 74, 76, 67, 69, 71, 73, 75, 88, 90, 92, 94, 96, 98, 89, 91, 93, 95, 97, 110, 112, 114, 116, 118, 120, 111, 113, 115, 117

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 = 11; 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=11 of A389424.

Sequence in context: A276138 A114973 A004522 * A103694 A372144 A357379

Adjacent sequences: A004518 A004519 A004520 * A004522 A004523 A004524

Keyword

nonn,base

Author

N. J. A. Sloane

Status

approved