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A296371
Number of integer partitions of n using Jacobsthal numbers.
2
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
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
KEYWORD
nonn
AUTHOR
Gus Wiseman, Dec 11 2017
STATUS
approved