OFFSET
0,2
LINKS
Index entries for linear recurrences with constant coefficients, signature (12, -41, 42).
FORMULA
a(n) = 4*2^n/5 - 9*3^n/4 + 49*7^n/20. - Antonio Alberto Olivares, Feb 03 2010
From Vincenzo Librandi, Mar 15 2011: (Start)
a(n) = 12*a(n-1) - 41*a(n-2) + 42*a(n-3), n >= 3.
a(n) = 10*a(n-1) - 21*a(n-2) + 2^n, a(0)=1, a(1)=12.
(End)
MATHEMATICA
CoefficientList[Series[1/((1-2x)(1-3x)(1-7x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{12, -41, 42}, {1, 12, 103}, 30] (* Harvey P. Dale, Apr 28 2013 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved