A296371 Number of integer partitions of n using Jacobsthal numbers.

1, 1, 1, 2, 2, 3, 4, 4, 5, 6, 7, 9, 10, 11, 13, 15, 17, 19, 21, 23, 26, 30, 33, 36, 40, 44, 49, 54, 58, 63, 69, 75, 82, 89, 95, 103, 112, 120, 129, 138, 147, 158, 170, 182, 194, 207, 221, 236, 252, 267, 283, 301, 319, 339, 360, 380, 402, 426, 450, 475, 501, 527

Offset: 0

Author

Gus Wiseman, Dec 11 2017

Keywords

• nonn

Examples

			The a(10) = 7 partitions are (1111111111), (31111111), (331111), (3331), (511111), (5311), (55).
		

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..10000

Crossrefs

Cf. A000041, A001045, A003158, A018819, A050377, A197911.

Programs

Mathematica

nn=6;
jac[n_]:=(2^n-(-1)^n)/3;
Table[SeriesCoefficient[Product[1/(1-x^jac[i]),{i,2,nn}],{x,0,n}],{n,jac[nn]}]