0,7

Almost all members of A000009 are divisible by 2^k for any k, therefore almost all a(n)>k for any k.

Table of n, a(n) for n=0..101.

K. Alladi, Partition Identities Involving Gaps and Weights, Transactions of the American Mathematical Society, Vol. 349, No. 12, Dec 1997, pp. 5001-5019.

Basil Gordon and Ken Ono, Divisibility of Certain Partition Functions By Powers of Primes.

a(n) = A007814(A000009(n)) [From Max Alekseyev, Apr 27 2010]

The 0's are in A001318. The 1's are in A114913. Least inverse A115251.

Sequence in context: A044942 A263401 A239928 * A231723 A029274 A239498

Adjacent sequences: A114909 A114910 A114911 * A114913 A114914 A114915

nonn

Christian G. Bower, Jan 06 2006

approved