A115248 -id:A115248 - cp's OEIS frontend

A115249 Values in A115248 that are not in A005123.

19, 46, 53, 82, 100, 104, 109, 127, 128, 154, 172, 217, 228, 251, 257, 262, 271, 278, 289, 303, 316, 352, 353, 359, 379, 397, 415, 428, 447, 451, 460, 478, 487, 505, 514, 545, 586, 594, 603, 620, 640, 649, 667, 676, 692, 694, 721, 728, 739, 753, 757, 767

Offset: 0

Christian G. Bower, Jan 17 2006

nonn

Cf. A005123, A115248.

A115247 2^a(n) divides A001935(n) but 2^(a(n)+1) does not.

Original entry on oeis.org

0, 0, 1, 0, 2, 1, 0, 2, 4, 1, 0, 1, 1, 6, 1, 0, 2, 1, 4, 1, 6, 0, 2, 4, 1, 2, 2, 8, 0, 1, 1, 2, 1, 4, 6, 1, 0, 3, 4, 1, 2, 7, 1, 6, 1, 0, 1, 4, 6, 2, 1, 1, 2, 1, 1, 0, 1, 1, 8, 2, 4, 2, 6, 4, 3, 1, 0, 2, 4, 7, 3, 1, 1, 4, 1, 1, 6, 1, 0, 2, 1, 2, 1, 6, 1, 2, 4, 2, 7, 8, 6, 0, 2, 4, 2, 1, 1, 6, 4, 4

Offset: 0

Christian G. Bower, Jan 17 2006

nonn

Almost all members of A001935 are divisible by 2^k for any k, therefore almost all a(n)>k for any k.

Basil Gordon and Ken Ono, Divisibility of Certain Partition Functions By Powers of Primes.
K. Alladi, Partition Identities Involving Gaps and Weights, Transactions of the American Mathematical Society, Vol. 349, No. 12, Dec 1997, pp. 5001-5019.

The 0's are in A000217. The 1's are in A115248. Least inverse A115250.

cp's OEIS Frontend

A115249 Values in A115248 that are not in A005123.

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A115247 2^a(n) divides A001935(n) but 2^(a(n)+1) does not.

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