Binomial transform of [1, 5, 10, 10, 5, 1, 1, -1, 1, -1, 1, ...].

Terms

a(0) =1a(1) =6a(2) =21a(3) =56a(4) =126a(5) =252a(6) =463a(7) =798a(8) =1308a(9) =2058a(10) =3129a(11) =4620a(12) =6650a(13) =9360a(14) =12915a(15) =17506a(16) =23352a(17) =30702a(18) =39837a(19) =51072a(20) =64758a(21) =81284a(22) =101079a(23) =124614a(24) =152404a(25) =185010a(26) =223041a(27) =267156a(28) =318066a(29) =376536