A161240 Number of partitions of n into central binomial coefficients A001405.

1, 2, 3, 4, 5, 8, 9, 12, 15, 19, 22, 29, 33, 40, 47, 56, 63, 76, 85, 100, 113, 131, 146, 169, 187, 214, 237, 268, 295, 334, 365, 410, 449, 499, 545, 606, 657, 727, 789, 868, 940, 1033, 1114, 1219, 1315, 1433, 1542, 1678, 1800, 1954, 2095, 2266, 2426, 2619, 2798

Offset: 1

Author

R. H. Hardin, Jun 06 2009

Keywords

• nonn

Examples

			a(6)=8 because we have 6, 33, 321, 3111, 222, 2211, 21111, and 111111. - _Emeric Deutsch_, Jun 21 2009
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..1000

Programs

Maple

g := 1/(product(1-x^binomial(j, floor((1/2)*j)), j = 1 .. 15)): gser := series(g, x = 0, 63): seq(coeff(gser, x, n), n = 1 .. 55); # Emeric Deutsch, Jun 21 2009

Formula

G.f.: 1/Product_{j>=1} (1 - x*binomial(j, floor(j/2))). - Emeric Deutsch, Jun 21 2009