Number of integer partitions of n with parts colored by {0, 1, 2, 3} such that the sum of colors is congruent to 1 (mod 4).

A387957

Number of integer partitions of n with parts colored by {0, 1, 2, 3} such that the sum of colors is congruent to 1 (mod 4).

Terms

    a(0) =0a(1) =1a(2) =3a(3) =10a(4) =25a(5) =63a(6) =141a(7) =310a(8) =640a(9) =1295a(10) =2518a(11) =4802a(12) =8907a(13) =16240a(14) =28995a(15) =50996a(16) =88208a(17) =150587a(18) =253570a(19) =422100a(20) =694509a(21) =1131190a(22) =1824000a(23) =2914730a(24) =4616770a(25) =7253925a(26) =11308411a(27) =17501344a(28) =26895795a(29) =41061345

External references