OFFSET
0,2
COMMENTS
Binomial transform of A152262. Inverse binomial transform of A152264. - Philippe Deléham, Dec 03 2008
LINKS
Index entries for linear recurrences with constant coefficients, signature (16, -58).
FORMULA
From Philippe Deléham, Dec 03 2008: (Start)
a(n) = 16*a(n-1) - 58*a(n-2), n > 1; a(0)=1, a(1)=8.
G.f.: (1-8*x)/(1-16*x+58*x^2).
a(n) = Sum_{k=0..n} A098158(n,k)*8^(2k-n)*6^(n-k). (End)
MATHEMATICA
LinearRecurrence[{16, -58}, {1, 8}, 20] (* Harvey P. Dale, Jul 09 2021 *)
PROG
(Magma) Z<x>:= PolynomialRing(Integers()); N<r6>:=NumberField(x^2-6); S:=[ ((8+r6)^n+(8-r6)^n)/2: n in [0..18] ]; [ Integers()!S[j]: j in [1..#S] ]; // Klaus Brockhaus, Dec 03 2008
CROSSREFS
KEYWORD
nonn
AUTHOR
Al Hakanson (hawkuu(AT)gmail.com), Dec 01 2008
EXTENSIONS
Extended beyond a(6) by Klaus Brockhaus, Dec 03 2008
STATUS
approved