A035142 Numbers n with property that number of partitions-into-distinct-parts of n is a perfect square.

0, 1, 2, 6, 20, 29, 46

Offset

1,3

Comments

Next term, if it exists, is greater than 50000. - David Wasserman, Aug 06 2002

Links

Table of n, a(n) for n=1..7.

Mathematica

okQ[n_] := IntegerQ[Sqrt[PartitionsQ[n]]]; Select[Range[10000], okQ] (* Harvey P. Dale, Mar 13 2011 *)

Prog

(PARI) q(n)= polcoeff(prod(k=1, n, 1+x^k, 1+x*O(x^n)), n)
for(n=0, 1000, if(issquare(q(n)), print1(n, ", ")))

Crossrefs

Cf. A000009.

Sequence in context: A267124 A322371 A131441 * A064701 A368249 A181558

Adjacent sequences: A035139 A035140 A035141 * A035143 A035144 A035145

Keyword

nonn

Author

Olivier Gérard

Extensions

Entry revised by N. J. A. Sloane, Jul 23 2006

Status

approved