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

Author

Ilya Gutkovskiy, Dec 05 2020

Keywords

• nonn

Examples

			                          [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].
		

Links

• Eric Weisstein's World of Mathematics, Triangular Number
• Index entries for sequences related to partitions
• Index to sequences related to polygonal numbers

Crossrefs

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