0,2

Binomial transform of A163460. Inverse binomial transform of A163462.

a(n) = ((2+sqrt(2))*(9+sqrt(2))^n+(2-sqrt(2))*(9-sqrt(2))^n)/4.

G.f.: (1-8*x)/(1-18*x+79*x^2).

(MAGMA) [ n le 2 select 9*n-8 else 18*Self(n-1)-79*Self(n-2): n in [1..18] ];

Cf. A163460, A163462.

Sequence in context: A033128 A094945 A041041 this_sequence A081192 A108892 A162849

Adjacent sequences: A163458 A163459 A163460 this_sequence A163462 A163463 A163464

nonn

Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Jul 28 2009