OFFSET
0,2
LINKS
Index entries for linear recurrences with constant coefficients, signature (33,-362,1320)
FORMULA
If we define f(m,j,x) = Sum_{k=j..m} binomial(m,k)*Stirling2(k,j)*x^(m-k) then a(n-2) = f(n,2,10) for n >= 2. - Milan Janjic, Apr 26 2009
a(n) = 33*a(n-1) - 362*a(n-2) + 1320*a(n-3), n >= 3. - Vincenzo Librandi, Mar 18 2011
a(n) = 23*a(n-1) - 132*a(n-2) + 10^n, n >= 2. - Vincenzo Librandi, Mar 18 2011
a(n) = 6*12^(n+1) - 11^(n+2) + 5*10^(n+1). - R. J. Mathar, Mar 18 2011
MATHEMATICA
CoefficientList[Series[1/((1-10x)(1-11x)(1-12x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{33, -362, 1320}, {1, 33, 727}, 30] (* Harvey P. Dale, Apr 27 2012 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved