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.

Showing 1-3 of 3 results.

A083933 A063171-encoding of A083923-trees.

Original entry on oeis.org

0, 1100, 11001100, 11110000, 110011001100, 110011110000, 111100001100, 111100110000, 111111000000, 1100110011001100, 1100110011110000, 1100111100001100, 1100111100110000, 1100111111000000, 1111000011001100
Offset: 0

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Author

Antti Karttunen, May 13 2003

Keywords

Comments

Subset of totally balanced binary strings (A063171) with only even runs of either bit 0 or 1 occurring.

Crossrefs

Permutation of A080317 from which this differs first time at the sixth term, with a(6)=111100001100, while A080317(6)=111111000000.
Cf. A007088, A063171, A083932, A083923.

Formula

a(n) = A007088(A083932(n)).

A083925 Inverse function of N -> N injection A057548.

Original entry on oeis.org

0, 0, 0, 1, 0, 0, 0, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 4, 5, 0, 6, 7, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 10, 0, 11, 12, 13, 0, 0, 0, 14, 15, 0, 16, 17, 18, 0, 19, 20, 21, 22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
Offset: 0

Views

Author

Antti Karttunen, May 13 2003

Keywords

Comments

a(1)=0 because A057548(0)=1, but a(n) = 0 also for those n which do not occur as values of A057548. All positive natural numbers occur here once.

Crossrefs

a(A057548(n)) = n for all n. Cf. A083926-A083929, A083935.

Formula

a(n) = A083923(n)*A072771(n).

A083924 Characteristic function for A072795.

Original entry on oeis.org

0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1
Offset: 0

Views

Author

Antti Karttunen, May 13 2003

Keywords

Comments

The sequence obtained by counting the runs of 0- and 1-bits 1,2,1,2,3,5,9,14,28,... is essentially the sequence A000108 interleaved with the sequence A000245, which appears to be A026008.

Links

Crossrefs

a(n) = A083923(A069770(n)). Used to compute A083926.

Formula

a(0) = 0, a(n>0) = 1 if A072771(n)=0, otherwise 0.
Showing 1-3 of 3 results.

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