OFFSET
3,1
LINKS
G. C. Greubel, Table of n, a(n) for n = 3..1000
Index entries for linear recurrences with constant coefficients, signature (12,-60,160,-240,192,-64).
FORMULA
a(n) = 2^n*(7*n^5 - 40*n^4 + 110*n^3 - 155*n^2 + 78*n)/240.
GF(z) = (52*z^2 + 12*z + 9)/(1-2*z)^6.
a(n) = 12*a(n-1) - 60*a(n-2) + 160*a(n-3) - 240*a(n-4) + 192*a(n-5) - 64*a(n-6).
a(n) - 11*a(n-1) + 50*a(n-2) - 120*a(n-3) + 160*a(n-4) - 112*a(n-5) + 32*a(n-6) = 7*2^(n-2).
MATHEMATICA
LinearRecurrence[{12, -60, 160, -240, 192, -64}, {9, 120, 952, 5664, 27888, 120064}, 100] (* G. C. Greubel, Jun 17 2016 *)
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Johannes W. Meijer, Nov 10 2009
EXTENSIONS
Formulae and links added by Johannes W. Meijer, Nov 23 2009
STATUS
approved