A237272 Number of overcompositions of n that contain at least two parts in increasing order and that contain at least one overlined part.

0, 0, 0, 3, 9, 27, 83, 211, 522, 1222, 2874, 6496, 14593, 32185, 70423, 153024, 330195, 708933, 1514821, 3224134, 6836547, 14455648, 30475210, 64096487, 134493519, 281642590, 588642240, 1228160742, 2558300338, 5321065857, 11051923912, 22925167566

Offset

0,4

Comments

Number of overcompositions of n minus the number of overpartitions of n plus the number of partitions of n minus the number of compositions of n.

Links

Table of n, a(n) for n=0..31.

Formula

a(n) = A236002(n) - A015128(n) + A000041(n) - A011782(n) = A236002(n) - A230441(n) - A011782(n) = A237045(n) - A056823(n).

Crossrefs

Cf. A000041, A011782, A015128, A056823, A230441, A236002, A236633, A237044, A237045.

Sequence in context: A083591 A052917 A099786 * A192909 A047085 A171155

Adjacent sequences: A237269 A237270 A237271 * A237273 A237274 A237275

Keyword

nonn

Author

Omar E. Pol, Feb 09 2014

Status

approved