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A344345
Digitally balanced numbers in Gray code: numbers whose binary reflected Gray code has the same number of 0's as 1's.
1
3, 8, 12, 14, 33, 35, 39, 47, 49, 51, 55, 57, 59, 61, 130, 132, 134, 136, 140, 142, 144, 152, 156, 158, 160, 176, 184, 188, 190, 194, 196, 198, 200, 204, 206, 208, 216, 220, 222, 226, 228, 230, 232, 236, 238, 242, 244, 246, 250, 517, 521, 523, 525, 529, 531, 535
OFFSET
1,1
LINKS
Eric Weisstein's World of Mathematics, Gray Code.
Wikipedia, Gray code.
EXAMPLE
8 is a term since its Gray code, 1100, has 2 0's and 2 1's.
33 is a term since its Gray code, 110001, has 3 0's and 3 1's.
MATHEMATICA
gc[n_] := gc[n] = If[n <= 1, n, 2^(b = Floor@Log2[n]) + gc[2^(b + 1) - 1 - n]]; gcDigBalQ[n_] := Equal @@ DigitCount[gc[n], 2, {0, 1}]; Select[Range[500], gcDigBalQ]
CROSSREFS
Similar sequences: A031443 (binary), A210619 (Zeckendorf), A342727 (base i-1).
Sequence in context: A161517 A255199 A280239 * A310284 A296368 A183991
KEYWORD
nonn,base
AUTHOR
Amiram Eldar, May 15 2021
STATUS
approved