OFFSET
0,2
COMMENTS
a(n)/a(n-1) tends to -6.
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (-1, 30).
FORMULA
G.f.: (1+7*x)/(1+x-30*x^2).
a(n) = Sum_{k=0..n} A112555(n,k)*5^k.
a(n) = (12*5^n-(-6)^n)/11. - Klaus Brockhaus, Sep 26 2009
E.g.f.: (12*exp(5*x) - exp(-6*x))/11. - G. C. Greubel, Oct 20 2018
MAPLE
seq(coeff(series((1+7*x)/(1+x-30*x^2), x, n+1), x, n), n = 0 .. 22); # Muniru A Asiru, Oct 21 2018
MATHEMATICA
LinearRecurrence[{-1, 30}, {1, 6}, 30] (* Harvey P. Dale, May 04 2012 *)
PROG
(PARI) vector(30, n, n--; (12*5^n-(-6)^n)/11) \\ G. C. Greubel, Oct 20 2018
(Magma) [(12*5^n-(-6)^n)/11: n in [0..30]]; // G. C. Greubel, Oct 20 2018
(GAP) a:=[1, 6];; for n in [3..22] do a[n]:=30*a[n-2]-a[n-1]; od; a; # Muniru A Asiru, Oct 21 2018
CROSSREFS
KEYWORD
easy,sign
AUTHOR
Philippe Deléham, Sep 21 2009
STATUS
approved