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A132462 Number of partitions of n into distinct parts congruent to 0 or 2 modulo 3. 5
1, 0, 1, 1, 0, 2, 1, 1, 3, 2, 2, 5, 2, 4, 7, 4, 7, 10, 6, 11, 14, 9, 17, 19, 14, 25, 26, 21, 36, 35, 31, 50, 47, 45, 69, 63, 64, 93, 84, 89, 125, 111, 124, 165, 147, 169, 216, 194, 227, 281, 254, 303, 363, 332, 400, 466, 432, 523, 595, 559, 680, 756, 721, 876, 956, 926, 1121 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,6

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 0..200

FORMULA

G.f.: Product_{k>=1} ((1+x^(3*k))*(1+x^(3*k-1)). - Emeric Deutsch, Aug 30 2007

a(n) ~ exp(Pi*sqrt(2*n)/3) / (2^(23/12) * sqrt(3) * n^(3/4)). - Vaclav Kotesovec, Aug 24 2015

EXAMPLE

a(8)=3 because we have 8, 6+2 and 5+3.

MAPLE

g:=product((1+x^(3*k))*(1+x^(3*k-1)), k=1..30): gser:=series(g, x=0, 100): seq(coeff(gser, x, n), n=0..70); # Emeric Deutsch, Aug 30 2007

MATHEMATICA

nmax = 40; CoefficientList[Series[Product[((1+x^(3*k))*(1+x^(3*k-1))), {k, 1, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, Aug 24 2015 *)

CROSSREFS

Cf. A007494, A035361, A003105, A132463.

Sequence in context: A228668 A058636 A226009 * A161039 A104467 A132463

Adjacent sequences:  A132459 A132460 A132461 * A132463 A132464 A132465

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Aug 22 2007

EXTENSIONS

a(0)=1 prepended by Vaclav Kotesovec, Aug 24 2015

STATUS

approved

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Last modified September 22 21:07 EDT 2020. Contains 337291 sequences. (Running on oeis4.)