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A286681 a(n) = the smallest positive integer not occurring earlier in the sequence such that SumXOR_{k=1..n} a(k) written in binary contains binary n as a substring, where SumXOR is the analog of summation under the binary XOR operation. 3
1, 3, 4, 2, 9, 11, 8, 6, 17, 12, 14, 7, 33, 5, 23, 15, 49, 35, 20, 18, 30, 28, 24, 22, 10, 40, 44, 42, 38, 36, 32, 94, 34, 96, 65, 43, 45, 41, 107, 79, 58, 56, 60, 122, 118, 52, 48, 46, 19, 81, 84, 82, 95, 29, 25, 31, 73, 67, 13, 75, 70, 68, 64, 62, 129, 69 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

This sequence is a variant of A160855: here we consider SumXOR, there Sum.

The partial XOR sums are given by A286712.

LINKS

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

Rémy Sigrist, Perl program for A286681

Rémy Sigrist, Illustration of the first terms

CROSSREFS

Cf. A160855, A286712.

Sequence in context: A091477 A075593 A145421 * A019474 A072565 A159672

Adjacent sequences:  A286678 A286679 A286680 * A286682 A286683 A286684

KEYWORD

nonn,base,look

AUTHOR

Rémy Sigrist, May 13 2017

STATUS

approved

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Last modified August 22 00:43 EDT 2019. Contains 326169 sequences. (Running on oeis4.)