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 1-5 of 5 results.

A347730 Number of compositions (ordered partitions) of n into at most 2 triangular numbers.

Original entry on oeis.org

1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 4, 0, 2, 0, 1, 3, 2, 0, 2, 2, 0, 2, 1, 2, 1, 4, 0, 0, 2, 0, 3, 2, 2, 2, 0, 0, 3, 2, 0, 1, 4, 0, 2, 2, 0, 4, 0, 0, 0, 3, 3, 2, 2, 0, 2, 2, 0, 0, 2, 2, 3, 2, 0, 2, 2, 0, 3, 2, 0, 0, 4, 0, 1, 2
Offset: 0

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Author

Ilya Gutkovskiy, Sep 11 2021

Keywords

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Formula

a(n) = c(n) + Sum_{k=1..n-1} c(k) * c(n-k), where c = A010054. - Wesley Ivan Hurt, Jan 06 2024

A347731 Number of compositions (ordered partitions) of n into at most 3 triangular numbers.

Original entry on oeis.org

1, 1, 1, 2, 2, 3, 2, 5, 3, 3, 7, 2, 7, 5, 6, 4, 7, 9, 3, 12, 1, 9, 11, 6, 8, 8, 9, 8, 13, 2, 11, 13, 12, 6, 11, 9, 6, 20, 5, 14, 12, 9, 12, 11, 12, 11, 16, 9, 11, 20, 6, 10, 27, 6, 12, 9, 12, 20, 17, 15, 8, 23, 9, 13, 14, 11, 21, 23, 9, 8, 23, 15, 18, 17, 12, 15
Offset: 0

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Author

Ilya Gutkovskiy, Sep 11 2021

Keywords

Crossrefs

A347733 Number of compositions (ordered partitions) of n into at most 5 triangular numbers.

Original entry on oeis.org

1, 1, 1, 2, 3, 4, 6, 10, 9, 17, 16, 24, 28, 26, 47, 31, 59, 51, 60, 75, 67, 103, 66, 130, 89, 124, 147, 104, 181, 140, 188, 157, 213, 185, 224, 255, 192, 280, 257, 299, 255, 352, 266, 368, 384, 284, 437, 353, 456, 387, 475, 416, 466, 570, 414, 576, 562, 495
Offset: 0

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Author

Ilya Gutkovskiy, Sep 11 2021

Keywords

Crossrefs

A347734 Number of compositions (ordered partitions) of n into at most 6 triangular numbers.

Original entry on oeis.org

1, 1, 1, 2, 3, 4, 7, 10, 15, 17, 31, 30, 48, 56, 62, 97, 80, 141, 121, 165, 193, 189, 276, 220, 359, 280, 408, 424, 391, 590, 449, 673, 588, 727, 719, 825, 919, 820, 1127, 949, 1221, 1168, 1316, 1274, 1539, 1550, 1457, 1913, 1546, 2097, 1891, 2114, 2101, 2316
Offset: 0

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Author

Ilya Gutkovskiy, Sep 11 2021

Keywords

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A357072 Number of partitions of n into at most 4 distinct positive triangular numbers.

Original entry on oeis.org

1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 3, 1, 1, 3, 2, 1, 4, 3, 0, 3, 2, 2, 4, 3, 3, 3, 1, 3, 3, 2, 4, 5, 4, 1, 5, 3, 2, 6, 3, 3, 6, 4, 2, 5, 4, 4, 5, 4, 2, 7, 5, 5, 7, 3, 4, 7, 4, 4, 8, 5, 4, 7, 6, 2, 7, 6, 5, 10, 5, 6, 7, 5, 7, 7, 6, 4, 10, 8, 3, 12, 6, 4, 11, 6, 5, 9, 7
Offset: 0

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Author

Ilya Gutkovskiy, Oct 25 2022

Keywords

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Showing 1-5 of 5 results.