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 A085539 n^6 - n^5. 0
 0, 0, 32, 486, 3072, 12500, 38880, 100842, 229376, 472392, 900000, 1610510, 2737152, 4455516, 6991712, 10631250, 15728640, 22717712, 32122656, 44569782, 60800000, 81682020, 108226272, 141599546, 183140352, 234375000, 297034400, 373071582, 464679936 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS For n>=1, a(n) is equal to the number of functions f:{1,2,3,4,5,6}->{1,2,...,n} such that for a fixed x in {1,2,3,4,5,6} and a fixed y in {1,2,...,n} we have f(x)<>y. - Aleksandar M. Janjic and Milan Janjic, Mar 13 2007 LINKS Milan Janjic, Enumerative Formulas for Some Functions on Finite Sets Index to sequences with linear recurrences with constant coefficients, signature (7,-21,35,-35,21,-7,1). FORMULA G.f.: -2*x^2*(x^4+41*x^3+171*x^2+131*x+16)/(x-1)^7. [Colin Barker, Nov 06 2012] MATHEMATICA f[n_]:=n^6-n^5; f[Range[0, 60]] (*From Vladimir Joseph Stephan Orlovsky, Feb 10 2011*) CROSSREFS Sequence in context: A000152 A022069 A203720 * A091364 A208312 A138412 Adjacent sequences:  A085536 A085537 A085538 * A085540 A085541 A085542 KEYWORD nonn,easy AUTHOR N. J. A. Sloane, Jul 05 2003 STATUS approved

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