OFFSET
0,2
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..600
Index entries for linear recurrences with constant coefficients, signature (47).
FORMULA
a(n) = Sum_{k=0..n} A097805(n,k)*(-1)^(n-k)*48^k. - Philippe Deléham, Dec 04 2009
a(0) = 1; for n>0, a(n) = 48*47^(n-1). - Vincenzo Librandi, Dec 05 2009
E.g.f.: (48*exp(47*x) - 1)/47. - G. C. Greubel, Oct 11 2019
MAPLE
k:=48; seq(`if`(n=0, 1, k*(k-1)^(n-1)), n = 0..25); # G. C. Greubel, Oct 10 2019
MATHEMATICA
CoefficientList[Series[(1+x)/(1-47*x), {x, 0, 30}], x] (* Vincenzo Librandi, Dec 09 2012 *)
With[{k = 48}, Table[If[n==0, 1, k*(k-1)^(n-1)], {n, 0, 25}]] (* G. C. Greubel, Oct 10 2019 *)
Join[{1}, NestList[47#&, 48, 20]] (* Harvey P. Dale, Nov 07 2021 *)
PROG
(PARI) vector(26, n, k=48; if(n==1, 1, k*(k-1)^(n-2))) \\ G. C. Greubel, Oct 10 2019
(Magma) k:=48; [1] cat [k*(k-1)^(n-1): n in [1..25]]; // G. C. Greubel, Oct 10 2019
(Sage) k=48; [1]+[k*(k-1)^(n-1) for n in (1..25)] # G. C. Greubel, Oct 10 2019
(GAP) k:=48;; Concatenation([1], List([1..25], n-> k*(k-1)^(n-1) )); # G. C. Greubel, Oct 10 2019
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Dec 04 2009
STATUS
approved