OFFSET
1,1
LINKS
Colin Barker, Table of n, a(n) for n = 1..1000
Milan Janjic, Enumerative Formulas for Some Functions on Finite Sets
Index entries for linear recurrences with constant coefficients, signature (21,-175,735,-1624,1764,-720).
FORMULA
a(n) = 12*6^n-30*5^n+34*4^n-21*3^n+7*2^n-1.
G.f.: -2*x*(360*x^5 -882*x^4 +695*x^3 -281*x^2 +52*x -4) / ((x -1)*(2*x -1)*(3*x -1)*(4*x -1)*(5*x -1)*(6*x -1)). - Colin Barker, Feb 23 2015
MAPLE
f:=n->12*6^n-30*5^n+34*4^n-21*3^n+7*2^n-1;
MATHEMATICA
LinearRecurrence[{21, -175, 735, -1624, 1764, -720}, {8, 64, 506, 3916, 29498, 215524}, 30] (* Harvey P. Dale, Sep 26 2019 *)
PROG
(PARI) vector(100, n, 12*6^n-30*5^n+34*4^n-21*3^n+7*2^n-1) \\ Colin Barker, Feb 23 2015
CROSSREFS
KEYWORD
nonn,base,easy
AUTHOR
Aleksandar M. Janjic and Milan Janjic, Feb 08 2007
STATUS
approved