A175919 Convert n to binary. XOR each respective digit of binary n and binary A030101(n), where A030101(n) is the reversal of the order of the digits in the binary representation of n (given in decimal). a(n) is the decimal value of the result.

0, 0, 3, 0, 5, 0, 5, 0, 9, 0, 15, 6, 15, 6, 9, 0, 17, 0, 27, 10, 17, 0, 27, 10, 27, 10, 17, 0, 27, 10, 17, 0, 33, 0, 51, 18, 45, 12, 63, 30, 45, 12, 63, 30, 33, 0, 51, 18, 51, 18, 33, 0, 63, 30, 45, 12, 63, 30, 45, 12, 51, 18, 33, 0, 65, 0, 99, 34, 85, 20, 119, 54, 65, 0, 99, 34, 85, 20, 119

Offset

0,3

Comments

Description format taken from Leroy Quet's OR and AND gate sequences for consistency.

Links

Alois P. Heinz, Table of n, a(n) for n = 0..16383

Formula

a(n) = A003987(n, A030101(n)).

Mathematica

Table[f = IntegerDigits[x, 2]; f = f + Reverse[f]; FromDigits[ Table[If[OddQ[f[[r]]], 1, 0], {r, 1, Length[f]}], 2], {x, STARTPOINT, ENDPOINT}]

Crossrefs

Or A175298 and And A175297 gate sequences. The rest of the equivalent sequences for other gates are adjacent.

Cf. A003987, A030101, A256756.

Sequence in context: A004605 A369700 A347361 * A086664 A164736 A349343

Adjacent sequences: A175916 A175917 A175918 * A175920 A175921 A175922

Keyword

base,look,nonn

Author

Dylan Hamilton, Oct 15 2010

Status

approved