OFFSET
0,2
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..400
Index entries for linear recurrences with constant coefficients, signature (36, -540, 4320, -19440, 46656, -46656).
FORMULA
a(n) = 6^n*binomial(n+5, 5).
G.f.: 1/(1-6*x)^6.
MAPLE
seq(binomial(n+5, 5)*6^n, n=0..17); # Zerinvary Lajos, Jun 16 2008
MATHEMATICA
CoefficientList[Series[1/(1-6x)^6, {x, 0, 30}], x] (* or *) LinearRecurrence[ {36, -540, 4320, -19440, 46656, -46656}, {1, 36, 756, 12096, 163296, 1959552}, 30] (* Harvey P. Dale, Jul 31 2018 *)
PROG
(Sage) [lucas_number2(n, 6, 0)*binomial(n, 5)/6^5 for n in range(5, 23)] # Zerinvary Lajos, Mar 13 2009
(Magma) [6^n* Binomial(n+5, 5): n in [0..20]]; // Vincenzo Librandi, Oct 12 2011
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved