A027353 Number of partitions of n into distinct odd parts, the least being 9.

0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 4, 1, 4, 2, 5, 2, 5, 3, 6, 4, 6, 5, 7, 6, 7, 8, 8, 9, 8, 11, 10, 13, 10, 15, 12, 17, 13, 20, 16, 22, 17, 25, 21, 28, 23, 31

Offset

1,37

Links

Table of n, a(n) for n=1..80.

Maple

Nmax := 501 :
g := 1;
for e from 11 to Nmax by 2 do
    g := g*(1+x^e) ;
    g := taylor(%, x=0, Nmax+1) ;
    g := convert(%, polynom, x) ;
end do:
g := x^9+x^9*(g-1) :
g := taylor(g, x=0, Nmax) :
gfun[seriestolist](g) ; # R. J. Mathar, Oct 03 2016

Crossrefs

Cf. A027351, A027352.

Sequence in context: A090329 A224876 A340830 * A027352 A029238 A345137

Adjacent sequences: A027350 A027351 A027352 * A027354 A027355 A027356

Keyword

nonn

Author

Clark Kimberling

Status

approved