A114093 Number of partitions of n into parts that are distinct mod 5.

1, 1, 2, 2, 3, 4, 4, 6, 6, 8, 10, 10, 13, 13, 18, 20, 20, 24, 24, 36, 35, 35, 40, 40, 66, 56, 56, 62, 62, 113, 84, 84, 91, 91, 183, 120, 120, 128, 128, 283, 165, 165, 174, 174, 421, 220, 220, 230, 230, 606

Offset

1,3

Links

Fausto A. C. Cariboni, Table of n, a(n) for n = 1..2000

Example

a(5)=3 because there are 3 such partition of 5: {5}, {2,3}, {1,4}.

Mathematica

<< DiscreteMath`Combinatorica`; np[n_]:= Length@Select[Mod[ #, 5]& /@ Partitions[n], (Length@# != Length@Union@#)&]; lst = Array[np, 50]

Crossrefs

Sequence in context: A348526 A138374 A029936 * A345141 A239950 A077768

Adjacent sequences: A114090 A114091 A114092 * A114094 A114095 A114096

Keyword

nonn

Author

Giovanni Resta, Feb 06 2006

Status

approved