Legendre-binomial transform of 2^n for p=3.

Terms

a(0) =1a(1) =3a(2) =3a(3) =9a(4) =27a(5) =27a(6) =57a(7) =171a(8) =171a(9) =513a(10) =1539a(11) =1539a(12) =4617a(13) =13851a(14) =13851a(15) =29241a(16) =87723a(17) =87723a(18) =261633a(19) =784899a(20) =784899a(21) =2354697a(22) =7064091a(23) =7064091a(24) =14913081a(25) =44739243a(26) =44739243a(27) =134217729a(28) =402653187a(29) =402653187