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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

All terms belong to A042948.

LINKS

Rémy Sigrist, Table of n, a(n) for n = 1..10000

Rémy Sigrist, PARI program for A338502

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: A054508 A110617 A234356 * A102081 A068397 A236405

Adjacent sequences:  A338499 A338500 A338501 * A338503 A338504 A338505

KEYWORD

nonn,base

AUTHOR

Rémy Sigrist, Oct 31 2020

STATUS

approved

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Last modified May 8 19:28 EDT 2021. Contains 343666 sequences. (Running on oeis4.)