Number of partitions of the n-th tetrahedral number into exactly n positive tetrahedral numbers.

Terms

a(0) =1a(1) =1a(2) =0a(3) =0a(4) =0a(5) =1a(6) =2a(7) =5a(8) =5a(9) =20a(10) =35a(11) =75a(12) =154a(13) =336a(14) =730a(15) =1570a(16) =3394a(17) =7339a(18) =16085a(19) =35015a(20) =76269a(21) =164821a(22) =359704a(23) =782004a(24) =1696804a(25) =3668860a(26) =7953962a(27) =17184203a(28) =37093184a(29) =79825297