OFFSET
0,2
COMMENTS
Fifth binomial transform of A108411. Binomial transform of A162557. Inverse binomial transform of A162757.
2nd binomial transform of A086405. - R. J. Mathar, Jul 17 2009
LINKS
Index entries for linear recurrences with constant coefficients, signature (10, -22).
FORMULA
a(n) = 10*a(n-1) - 22*a(n-2) for n > 1; a(0) = 1, a(1) = 6.
G.f.: (1-4*x)/(1-10*x+22*x^2).
From R. J. Mathar, Jul 17 2009: (Start)
a(n) = 10*a(n-2) - 22*a(n-2).
G.f.: (1-4*x)/(1-10*x+22*x^2). (End)
PROG
(Magma) Z<x>:=PolynomialRing(Integers()); N<r>:=NumberField(x^2-3); S:=[ ((3+r)*(5+r)^n+(3-r)*(5-r)^n)/6: n in [0..19] ]; [ Integers()!S[j]: j in [1..#S] ]; // Klaus Brockhaus, Jul 13 2009
CROSSREFS
KEYWORD
nonn
AUTHOR
Al Hakanson (hawkuu(AT)gmail.com), Jul 06 2009
EXTENSIONS
Edited and extended beyond a(5) by Klaus Brockhaus, Jul 13 2009
More terms from R. J. Mathar, Jul 17 2009
STATUS
approved