A183012 a(n) = 24*A138879(n) - A187219(n).

23, 71, 119, 262, 358, 740, 932, 1697, 2248, 3588, 4690, 7371, 9312, 13814, 17959, 25289, 32406, 45056, 57015, 77383, 98043, 129678, 163451, 214120, 267217, 344786, 429842, 547308, 677897, 856601, 1054330, 1320077

Offset: 1

Author

Omar E. Pol, Jan 22 2011

Keywords

• nonn
• easy

Comments

Partial sums give the positive terms of A183011, the numerators of the Bruinier-Ono formula for the partition function.

Links

• Omar E. Pol, Illustration of the seven regions of 5

Crossrefs

Cf. A000041, A002865, A135010, A138879, A183010, A183011, A186114, A206437.

Programs

Maple

A066186 := proc(n) n*combinat[numbpart](n) ; end proc:
A138879 := proc(n) A066186(n)-A066186(n-1) ; end proc:
A002865 := proc(n) if n = 0 then 1; else combinat[numbpart](n)-combinat[numbpart](n-1) ; end if; end proc:
A183012 := proc(n) if n = 1 then 23; else 24*A138879(n)-A002865(n) ; end if; end proc:
seq(A183012(n),n=1..80) ; # R. J. Mathar, Jan 27 2011