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A134345 Number of partitions of n into odd squarefree parts. 3
1, 1, 1, 2, 2, 3, 4, 5, 6, 7, 9, 11, 13, 16, 19, 23, 27, 32, 38, 44, 52, 61, 71, 82, 95, 109, 126, 144, 165, 189, 215, 245, 278, 316, 358, 405, 458, 516, 581, 654, 734, 824, 923, 1033, 1155, 1289, 1438, 1602, 1783, 1982, 2202, 2444, 2710, 3002, 3323, 3675, 4061 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

Also number of partitions into parts m such that 2*m is squarefree.

LINKS

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

Joerg Arndt, Matters Computational (The Fxtbook), section 16.4.3 "Partitions into square-free parts", pp.351-352

FORMULA

G.f.: 1/prod(n>=1, 1 - moebius(2*n-1)^2 * x^(2*n-1)) = 1/prod(n>=1, 1 - moebius(2*n)^2 * x^(n)).

PROG

(PARI) N=75; x='x+O('x^N); Vec( 1/prod(n=1, N, 1-moebius(2*n-1)^2*x^(2*n-1) ) )

CROSSREFS

Sequence in context: A029014 A304631 A298603 * A112193 A014215 A067014

Adjacent sequences:  A134342 A134343 A134344 * A134346 A134347 A134348

KEYWORD

nonn

AUTHOR

Joerg Arndt, Aug 27 2008

STATUS

approved

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Last modified March 21 04:59 EDT 2019. Contains 321364 sequences. (Running on oeis4.)