Number of partitions of n into parts not of form 4k+2, 24k, 24k+7 or 24k-7. Also number of partitions in which no odd part is repeated, with at most 3 parts of size less than or equal to 2 and where differences between parts at distance 5 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even.

A036032

Number of partitions of n into parts not of form 4k+2, 24k, 24k+7 or 24k-7. Also number of partitions in which no odd part is repeated, with at most 3 parts of size less than or equal to 2 and where differences between parts at distance 5 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) =2a(3) =3a(4) =4a(5) =5a(6) =6a(7) =9a(8) =12a(9) =14a(10) =18a(11) =24a(12) =30a(13) =36a(14) =45a(15) =57a(16) =69a(17) =83a(18) =101a(19) =124a(20) =150a(21) =177a(22) =212a(23) =257a(24) =305a(25) =358a(26) =425a(27) =505a(28) =594a(29) =694

External references