Number of compositions (ordered partitions) of n into parts not greater than sqrt(n).

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =5a(5) =8a(6) =13a(7) =21a(8) =34a(9) =149a(10) =274a(11) =504a(12) =927a(13) =1705a(14) =3136a(15) =5768a(16) =20569a(17) =39648a(18) =76424a(19) =147312a(20) =283953a(21) =547337a(22) =1055026a(23) =2033628a(24) =3919944a(25) =11749641a(26) =23099186a(27) =45411804a(28) =89277256a(29) =175514464