Binomial transform of A008805 (triangular numbers with repeats).

Terms

a(0) =1a(1) =2a(2) =6a(3) =16a(4) =41a(5) =102a(6) =248a(7) =592a(8) =1392a(9) =3232a(10) =7424a(11) =16896a(12) =38144a(13) =85504a(14) =190464a(15) =421888a(16) =929792a(17) =2039808a(18) =4456448a(19) =9699328a(20) =21037056a(21) =45481984a(22) =98041856a(23) =210763776a(24) =451936256a(25) =966787072a(26) =2063597568a(27) =4395630592a(28) =9344909312a(29) =19830669312