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

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =1a(5) =1a(6) =1a(7) =1a(8) =1a(9) =19a(10) =28a(11) =41a(12) =60a(13) =88a(14) =129a(15) =189a(16) =277a(17) =406a(18) =595a(19) =872a(20) =1278a(21) =1873a(22) =2745a(23) =4023a(24) =5896a(25) =8641a(26) =12664a(27) =18560a(28) =27201a(29) =39865