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

0,4

Links

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

Example

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

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]}]

Crossrefs

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

Sequence in context: A011880 A029044 A029043 * A337601 A340283 A324744

Adjacent sequences: A296368 A296369 A296370 * A296372 A296373 A296374

Keyword

nonn

Author

Gus Wiseman, Dec 11 2017

Status

approved