A339444 Number of partitions of n into triangular numbers such that the number of parts is a triangular number.

1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 4, 1, 4, 2, 3, 6, 4, 6, 4, 7, 6, 10, 8, 8, 11, 11, 14, 11, 17, 14, 22, 19, 18, 24, 24, 30, 27, 33, 31, 38, 42, 39, 47, 49, 54, 59, 60, 63, 72, 77, 79, 85, 95, 94, 104, 116, 115, 131, 133, 142, 154, 165, 168, 180, 200, 203

Offset

0,4

Links

Table of n, a(n) for n=0..65.

Eric Weisstein's World of Mathematics, Triangular Number

Index entries for sequences related to partitions

Index to sequences related to polygonal numbers

Example

                          [1]
                          [1 1]      [1]
                          [1 1 1]    [1 1]    [1]
a(10) = 4 because we have [1 1 1 1], [1 3 3], [3 6] and [10].

Crossrefs

Cf. A000217, A007294, A085755, A178927, A280352, A339445.

Sequence in context: A093998 A247918 A237203 * A029389 A025835 A029277

Adjacent sequences: A339441 A339442 A339443 * A339445 A339446 A339447

Keyword

nonn

Author

Ilya Gutkovskiy, Dec 05 2020

Status

approved