Euler transform of powers of 2 [ 2,4,8,16,... ].

Terms

a(0) =1a(1) =2a(2) =7a(3) =20a(4) =59a(5) =162a(6) =449a(7) =1200a(8) =3194a(9) =8348a(10) =21646a(11) =55480a(12) =141152a(13) =356056a(14) =892284a(15) =2221208a(16) =5497945a(17) =13533858a(18) =33151571a(19) =80826748a(20) =196219393a(21) =474425518a(22) =1142758067a(23) =2742784304a(24) =6561052331a(25) =15645062126a(26) =37194451937a(27) =88174252924a(28) =208463595471a(29) =491585775018