Sum of the second largest parts of the partitions of 4n into 4 parts.

Terms

a(0) =1a(1) =10a(2) =46a(3) =141a(4) =334a(5) =680a(6) =1247a(7) =2106a(8) =3348a(9) =5077a(10) =7396a(11) =10432a(12) =14325a(13) =19210a(14) =25250a(15) =32621a(16) =41490a(17) =52056a(18) =64531a(19) =79114a(20) =96040a(21) =115557a(22) =137896a(23) =163328a(24) =192137a(25) =224586a(26) =260982a(27) =301645a(28) =346870a(29) =397000