Number of partitions of n in SPM(n): these are the partitions obtained from (n) by iteration of the following transformation: p -> p' if p' is a partition (i.e., decreasing) and p' is obtained from p by removing a unit from the i-th component of p and adding one to the (i+1)-th component, for any i.

A056219

Number of partitions of n in SPM(n): these are the partitions obtained from (n) by iteration of the following transformation: p -> p' if p' is a partition (i.e., decreasing) and p' is obtained from p by removing a unit from the i-th component of p and adding one to the (i+1)-th component, for any i.

Terms

    a(0) =1a(1) =2a(2) =2a(3) =4a(4) =5a(5) =6a(6) =9a(7) =13a(8) =15a(9) =19a(10) =25a(11) =34a(12) =42a(13) =51a(14) =61a(15) =78a(16) =98a(17) =122a(18) =146a(19) =175a(20) =209a(21) =253a(22) =307a(23) =374a(24) =444a(25) =524a(26) =617a(27) =729a(28) =858a(29) =1016

External references