Number of compositions (ordered partitions) of n into an even number of triangular numbers.

Terms

a(0) =1a(1) =0a(2) =1a(3) =0a(4) =3a(5) =0a(6) =6a(7) =2a(8) =13a(9) =6a(10) =28a(11) =20a(12) =61a(13) =56a(14) =135a(15) =148a(16) =308a(17) =380a(18) =707a(19) =950a(20) =1654a(21) =2340a(22) =3897a(23) =5714a(24) =9252a(25) =13858a(26) =22055a(27) =33492a(28) =52735a(29) =80744