cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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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.

Original entry on oeis.org

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
Offset: 1

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Author

Rémy Sigrist, May 13 2017

Keywords

Comments

This sequence is a variant of A160855: here we consider SumXOR, there Sum.
The partial XOR sums are given by A286712.

Crossrefs

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