Number of order-consecutive partitions of n.

Terms

a(0) =1a(1) =3a(2) =10a(3) =34a(4) =116a(5) =396a(6) =1352a(7) =4616a(8) =15760a(9) =53808a(10) =183712a(11) =627232a(12) =2141504a(13) =7311552a(14) =24963200a(15) =85229696a(16) =290992384a(17) =993510144a(18) =3392055808a(19) =11581202944a(20) =39540700160a(21) =135000394752a(22) =460920178688