A350288 a(n) is the smallest number which can be represented as the sum of n distinct nonzero triangular numbers in exactly n ways, or 0 if no such number exists.

1, 16, 37, 64, 83, 128, 177, 204, 270, 352, 430, 533, 632, 764, 893, 1102, 1256, 1443, 1630, 1855, 2141, 2384, 2699, 3053, 3378, 3753, 4176, 4620, 5068, 5570, 6107, 6654, 7253, 7904, 8526, 9241, 9975, 10699, 11533, 12401, 13301, 14189, 15179, 16233, 17286, 18412

Offset

1,2

Links

Table of n, a(n) for n=1..46.

Example

For n = 2: 16 = 1 + 15 = 6 + 10.
For n = 3: 37 = 1 + 15 + 21 = 3 + 6 + 28 = 6 + 10 + 21.

Crossrefs

Cf. A000217, A265134, A307597, A307598, A341021-A341027, A342326, A350241.

Sequence in context: A068833 A116190 A070587 * A354473 A275186 A224745

Adjacent sequences: A350285 A350286 A350287 * A350289 A350290 A350291

Keyword

nonn

Author

Ilya Gutkovskiy, Dec 23 2021

Extensions

More terms from Jinyuan Wang, Dec 26 2021

Status

approved