A027351 Number of partitions of n into distinct odd parts, the least being 5.

0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 3, 2, 4, 2, 4, 3, 5, 4, 5, 5, 6, 6, 6, 8, 8, 9, 8, 11, 10, 13, 11, 15, 14, 17, 15, 20, 19, 22, 21, 26, 26, 29, 29, 33, 35, 37, 39, 43, 47, 48, 52, 55, 61, 62, 68, 71

Offset

1,25

Links

Table of n, a(n) for n=1..76.

Maple

Nmax := 501 :
g := 1;
for e from 7 to Nmax by 2 do
    g := g*(1+x^e) ;
    g := taylor(%, x=0, Nmax+1) ;
    g := convert(%, polynom, x) ;
end do:
g := x^5+x^5*(g-1) :
g := taylor(g, x=0, Nmax) :
gfun[seriestolist](g) ; # R. J. Mathar, Oct 03 2016

Crossrefs

Cf. A027352, A027353.

Sequence in context: A362181 A079413 A337787 * A029349 A372205 A168676

Adjacent sequences: A027348 A027349 A027350 * A027352 A027353 A027354

Keyword

nonn

Author

Clark Kimberling

Status

approved