Total number of triangular numbers in all compositions of n.

Terms

a(0) =0a(1) =1a(2) =2a(3) =6a(4) =14a(5) =33a(6) =77a(7) =174a(8) =389a(9) =860a(10) =1885a(11) =4098a(12) =8853a(13) =19020a(14) =40668a(15) =86593a(16) =183698a(17) =388421a(18) =818892a(19) =1721884a(20) =3611968a(21) =7560337a(22) =15793474a(23) =32932549a(24) =68556300a(25) =142495004a(26) =295754816a(27) =613039248a(28) =1269137729a(29) =2624393922