OFFSET
0,2
LINKS
Kenny Lau, Table of n, a(n) for n = 0..812
Index entries for linear recurrences with constant coefficients, signature (17).
FORMULA
a(n) = Sum_{k=0..n} A097805(n,k)*(-1)^(n-k)*18^k. - Philippe Deléham, Dec 04 2009
a(0) = 1; for n>0, a(n) = 18*17^(n-1). - Vincenzo Librandi, Dec 05 2009
E.g.f.: (18*exp(17*x) -1)/17. - G. C. Greubel, Sep 24 2019
MAPLE
k:=18; seq(`if`(n=0, 1, k*(k-1)^(n-1)), n = 0..25); # G. C. Greubel, Sep 24 2019
MATHEMATICA
Join[{1}, 18*17^Range[0, 25]] (* Vladimir Joseph Stephan Orlovsky, Jul 13 2011 *)
CoefficientList[Series[(1+x)/(1-17x), {x, 0, 30}], x] (* or *) LinearRecurrence[ {17}, {1, 18}, 30] (* or *) Join[{1}, NestList[ 17#&, 18, 30]] (* Harvey P. Dale, Jul 11 2015 *)
PROG
(PARI) a(n)=18*17^n\17 \\ Charles R Greathouse IV, Jul 11 2016
(Python) for i in range(31):print(i, 18*17**(i-1) if i>0 else 1) # Kenny Lau, Aug 01 2017
(Magma) k:=18; [1] cat [k*(k-1)^(n-1): n in [1..25]]; // G. C. Greubel, Sep 24 2019
(Sage) k=18; [1]+[k*(k-1)^(n-1) for n in (1..25)] # G. C. Greubel, Sep 24 2019
(GAP) k:=18;; Concatenation([1], List([1..25], n-> k*(k-1)^(n-1) )); # G. C. Greubel, Sep 24 2019
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Dec 04 2009
STATUS
approved