Number of partitions of n into parts not of form 4k+2, 20k, 20k+3 or 20k-3. Also number of partitions in which no odd part is repeated, with 1 part of size less than or equal to 2 and where differences between parts at distance 4 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even.

A036025

Number of partitions of n into parts not of form 4k+2, 20k, 20k+3 or 20k-3. Also number of partitions in which no odd part is repeated, with 1 part of size less than or equal to 2 and where differences between parts at distance 4 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even.

Terms

    a(0) =1a(1) =1a(2) =1a(3) =2a(4) =3a(5) =3a(6) =4a(7) =6a(8) =8a(9) =9a(10) =11a(11) =15a(12) =19a(13) =22a(14) =27a(15) =35a(16) =42a(17) =49a(18) =59a(19) =73a(20) =88a(21) =102a(22) =121a(23) =147a(24) =174a(25) =202a(26) =237a(27) =282a(28) =331a(29) =382

External references