For a partition P of a positive integer, let f(P) be the product of k+1, over all parts k in P. Let a(n,r) be the sum of f(P) over all partitions P of n with smallest part r. Sequence gives table of a(n,r) for 1 <= r <= n, in the order a(1,1); a(2,1), a(2,2); a(3,1), a(3,2), a(3,3); ...
A079308
For a partition P of a positive integer, let f(P) be the product of k+1, over all parts k in P. Let a(n,r) be the sum of f(P) over all partitions P of n with smallest part r. Sequence gives table of a(n,r) for 1 <= r <= n, in the order a(1,1); a(2,1), a(2,2); a(3,1), a(3,2), a(3,3); ...
Terms
- a(0) =2a(1) =4a(2) =3a(3) =14a(4) =0a(5) =4a(6) =36a(7) =9a(8) =0a(9) =5a(10) =100a(11) =12a(12) =0a(13) =0a(14) =6a(15) =236a(16) =42a(17) =16a(18) =0a(19) =0a(20) =7a(21) =602a(22) =54a(23) =20a(24) =0a(25) =0a(26) =0a(27) =8a(28) =1368a(29) =195
External references
- oeis: A079308