Number of partitions of 5n with equal number of parts congruent to each of 1, 2, 3 and 4 modulo 5.

Terms

a(0) =1a(1) =1a(2) =3a(3) =8a(4) =22a(5) =53a(6) =124a(7) =269a(8) =568a(9) =1152a(10) =2284a(11) =4410a(12) =8363a(13) =15542a(14) =28438a(15) =51201a(16) =90930a(17) =159300a(18) =275740a(19) =471706a(20) =798388a(21) =1337478a(22) =2219395a(23) =3649432a(24) =5950078a(25) =9622364a(26) =15442269a(27) =24600952a(28) =38919910a(29) =61164114