A193749 Number of partitions of n into distinct parts that are squares or triangular numbers (A005214).

1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 4, 2, 1, 4, 4, 3, 5, 4, 3, 7, 7, 4, 6, 7, 6, 10, 10, 5, 10, 14, 10, 12, 14, 9, 14, 20, 13, 13, 20, 17, 18, 24, 17, 16, 27, 26, 22, 27, 25, 26, 35, 31, 26, 35, 37, 36, 42, 37, 35, 48, 47, 40, 49, 49, 48, 60, 58, 49, 61, 66, 61

Offset

0,5

Links

Reinhard Zumkeller, Table of n, a(n) for n = 0..250

Example

a(10) = #{10, 9+1, 6+4, 6+3+1} = 4;
a(11) = #{10+1, 6+4+1} = 2;
a(12) = #{9+3} = 1;
a(13) = #{10+3, 9+4, 9+3+1, 6+4+3} = 4.

Prog

(Haskell)
a193749 = p a005214_list where
   p _      0    = 1
   p (k:ks) m
     | m < k     = 0
     | otherwise = p ks (m - k) + p ks m

Crossrefs

Cf. A000290, A000217, A033461, A024940, A193748, A000009.

Sequence in context: A341216 A116491 A131325 * A049824 A133087 A153919

Adjacent sequences: A193746 A193747 A193748 * A193750 A193751 A193752

Keyword

nonn

Author

Reinhard Zumkeller, Aug 03 2011

Status

approved