0,2

Binomial transform of A163447. Tenth binomial transform of A163403.

a(n) = ((1+sqrt(2))*(10+sqrt(2))^n+(1-sqrt(2))*(10-sqrt(2))^n)/2.

G.f.: (1-8*x)/(1-20*x+98*x^2).

(MAGMA) [ n le 2 select 11*n-10 else 20*Self(n-1)-98*Self(n-2): n in [1..18] ];

Cf. A163447, A163403.

Sequence in context: A056340 A056330 A158516 this_sequence A004191 A051051 A001021

Adjacent sequences: A163445 A163446 A163447 this_sequence A163449 A163450 A163451

nonn

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