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

Author

Giovanni Resta, Feb 06 2006

Keywords

• nonn

Examples

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

Links

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

Programs

Mathematica

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