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A338502
Lexicographically earliest sequence of distinct nonnegative integers such that for any n > 0, a(1) XOR ... XOR a(n) is a square (where XOR denotes the bitwise XOR operator).
2
0, 1, 5, 4, 9, 8, 17, 16, 25, 24, 37, 21, 33, 20, 13, 45, 32, 29, 40, 48, 65, 36, 53, 72, 61, 52, 80, 57, 93, 64, 85, 49, 81, 88, 56, 96, 117, 100, 68, 125, 105, 116, 101, 120, 112, 73, 89, 137, 84, 109, 141, 180, 113, 133, 160, 132, 161, 152, 121, 144, 128
OFFSET
1,3
COMMENTS
All terms belong to A042948.
LINKS
EXAMPLE
The first terms, alongside a(1) XOR ... XOR a(n), are:
n a(n) a(1) AND ... AND a(n)
-- ---- ---------------------
1 0 0 = 0^2
2 1 1 = 1^2
3 5 4 = 2^2
4 4 0 = 0^2
5 9 9 = 3^2
6 8 1 = 1^2
7 17 16 = 4^2
8 16 0 = 0^2
9 25 25 = 5^2
10 24 1 = 1^2
11 37 36 = 6^2
12 21 49 = 7^2
PROG
(PARI) See Links section.
CROSSREFS
Cf. A042948, A042964, A292388 (prime variant), A338503.
Sequence in context: A110617 A371859 A234356 * A102081 A068397 A236405
KEYWORD
nonn,base
AUTHOR
Rémy Sigrist, Oct 31 2020
STATUS
approved