0,2

Binomial transform of A163445. Inverse binomial transform of A163447.

a(n) = ((1+sqrt(2))*(8+sqrt(2))^n+(1-sqrt(2))*(8-sqrt(2))^n)/2.

G.f.: (1-6*x)/(1-16*x+62*x^2).

(MAGMA) [ n le 2 select 9*n-8 else 16*Self(n-1)-62*Self(n-2): n in [1..19] ];

Cf. A163445, A163447.

Sequence in context: A158513 A125880 A125445 this_sequence A007137 A135927 A129542

Adjacent sequences: A163443 A163444 A163445 this_sequence A163447 A163448 A163449

nonn

Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Jul 27 2009