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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A379526 Number of ordered ways of writing 1 as Sum_{k=-n..n, k<>0} e(k)/k, where e(k) is 0 or 1.

Original entry on oeis.org

1, 7, 133, 5419, 383785, 42244765, 6520970371, 1359532454017
Offset: 1

Views

Author

Ilya Gutkovskiy, Dec 24 2024

Keywords

Examples

			a(2) = 7 ways: {1}, {-1/2, 1, 1/2} (6 permutations).
		

Crossrefs

A379527 Number of compositions (ordered partitions) of 1 into {1/1, 1/3, 1/5, ..., 1/(2*n-1)}.

Original entry on oeis.org

1, 2, 3, 4, 22, 23, 24, 5115, 5116, 5117, 1689273, 1689274, 441985160, 191869129330, 191869129331, 191869129332
Offset: 1

Views

Author

Ilya Gutkovskiy, Dec 24 2024

Keywords

Crossrefs

Formula

If 2*n-1 is prime, then a(n) = a(n-1) + 1. - Chai Wah Wu, Dec 26 2024

Extensions

a(13)-a(16) from Chai Wah Wu, Dec 27 2024

A379562 Number of compositions (ordered partitions) of 1 into {1/1^3, 1/2^3, 1/3^3, ..., 1/n^3}.

Original entry on oeis.org

1, 2, 3, 272335, 272336
Offset: 1

Views

Author

Ilya Gutkovskiy, Dec 26 2024

Keywords

Crossrefs

Formula

a(p) = a(p-1) + 1 for p prime. - Chai Wah Wu, Jan 08 2025
Previous Showing 11-13 of 13 results.