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A161227 Number of partitions of n into Catalan numbers A000108 where every part appears at least 2 times 3
0, 1, 1, 2, 1, 3, 2, 4, 3, 6, 4, 7, 6, 9, 8, 11, 10, 14, 13, 17, 16, 20, 20, 24, 24, 28, 28, 34, 33, 39, 39, 45, 45, 52, 52, 59, 59, 68, 67, 76, 76, 86, 86, 96, 97, 108, 108, 121, 121, 134, 135, 149, 150, 164, 166, 182, 183, 200, 202, 220, 222, 241, 244, 263, 267, 288, 291, 313, 317 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

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

FORMULA

G.f.=-1+Product[1+x^{2binom(2j,j)/(j+1)}/(1-x^{binom(2j,j)/(j+1)}), j=1..infinity)]. [From Emeric Deutsch, Jun 22 2009]

EXAMPLE

a(10)=6 because we have 55, 22222, 222211, 2221111, 22111111, and 1^(10). [From Emeric Deutsch, Jun 22 2009]

MAPLE

g := -1+product(1+x^(2*binomial(2*j, j)/(j+1))/(1-x^(binomial(2*j, j)/(j+1))), j = 1 .. 10): gser := series(g, x = 0, 75): seq(coeff(gser, x, n), n = 1 .. 70); [From Emeric Deutsch, Jun 22 2009]

CROSSREFS

Sequence in context: A230560 A265253 A058742 * A115584 A029140 A008584

Adjacent sequences:  A161224 A161225 A161226 * A161228 A161229 A161230

KEYWORD

nonn

AUTHOR

R. H. Hardin Jun 06 2009

STATUS

approved

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Last modified February 20 07:12 EST 2018. Contains 299359 sequences. (Running on oeis4.)