A361298 Second differences of the overpartitions.

1, 2, 2, 4, 6, 8, 12, 18, 24, 34, 48, 64, 88, 120, 158, 212, 282, 368, 484, 632, 816, 1056, 1360, 1738, 2220, 2826, 3576, 4520, 5696, 7144, 8948, 11176, 13908, 17280, 21414, 26460, 32638, 40168

Offset

2,2

Links

Table of n, a(n) for n=2..39.

K. Banerjee, Positivity of the second shifted difference of partitions and overpartitions: a combinatorial approach, Enum. Combin. Applic. 3 (2023) # S2R12

Formula

a(n) = A015128(n)-2*A015128(n-1)+A015128(n-2).

Crossrefs

Cf. A015128, A211971 (1st differences).

Sequence in context: A078578 A323446 A018129 * A091915 A123862 A089647

Adjacent sequences: A361295 A361296 A361297 * A361299 A361300 A361301

Keyword

nonn

Author

R. J. Mathar, Mar 08 2023

Status

approved