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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A334007 a(n) is the least integer that can be expressed as the sum of one or more consecutive nonzero triangular numbers in exactly n ways.

Original entry on oeis.org

1, 10, 2180, 10053736, 13291443468940
Offset: 1

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Author

Ilya Gutkovskiy, Apr 12 2020

Keywords

Examples

			Let S(k, m) denote the sum of m triangular numbers starting from k(k+1)/2. We have
a(1) = S(1, 1);
a(2) = S(4, 1) = S(1, 3);
a(3) = S(31, 4) = S(27, 5) = S(9, 15);
a(4) = S(945, 22) = S(571, 56) = S(968, 21) = S(131, 266);
a(5) = S(4109, 38947) = S(25213, 20540) = S(10296, 32943) = S(32801, 15834) = S(31654, 16472).
		

Crossrefs

Extensions

a(5) from Giovanni Resta, Apr 13 2020

A050942 Numbers that are not the sum of 2 or more consecutive nonzero triangular numbers.

Original entry on oeis.org

1, 2, 3, 5, 6, 7, 8, 11, 12, 13, 14, 15, 17, 18, 21, 22, 23, 24, 26, 27, 28, 29, 30, 32, 33, 37, 38, 39, 40, 41, 42, 43, 44, 45, 47, 48, 50, 51, 53, 54, 57, 58, 59, 60, 61, 62, 63, 65, 66, 67, 68, 69, 70, 71, 72, 73, 75, 76, 77, 78, 79, 82, 86, 87, 88
Offset: 1

Views

Author

N. J. A. Sloane, Jan 02 2000

Keywords

Comments

In other words, numbers that are not the difference of two non-adjacent tetrahedral numbers (A000292). - Ivan Neretin, Dec 20 2017

Crossrefs

Cf. A050943.
Showing 1-2 of 2 results.