OFFSET
0,2
COMMENTS
a(n) = A155955(n,5) for n > 4. - Reinhard Zumkeller, Jan 31 2009
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (6, -15, 20, -15, 6, -1).
FORMULA
a(n) = 6*a(n-1) - 15*a(n-2) + 20*a(n-3) - 15*a(n-4) + 6*a(n-5) - a(n-6), with a(0) = 0, a(1) = 3125, a(2) = 100000, a(3) = 759375, a(4) = 3200000, a(5) = 9765625. - Harvey P. Dale, Jul 11 2015
a(n) = 3125*A000584(n). - Michel Marcus, Oct 24 2017
G.f.: 3125*x*(1 + 26*x + 66*x^2 + 26*x^3 + x^4)/(1-x)^6. - Vincenzo Librandi, Oct 24 2017
MATHEMATICA
(5 Range[0, 20])^5 (* or *) LinearRecurrence[{6, -15, 20, -15, 6, -1}, {0, 3125, 100000, 759375, 3200000, 9765625}, 20] (* Harvey P. Dale, Jul 11 2015 *)
CoefficientList[Series[3125 x (1 + 26 x + 66 x^2 + 26 x^3 + x^4) / (1-x)^6, {x, 0, 33}], x] (* Vincenzo Librandi, Oct 24 2017 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved