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 A000971 Fermat coefficients. (Formerly M4623 N1975) 1
 1, 9, 42, 132, 334, 728, 1428, 2584, 4389, 7084, 10963, 16380, 23751, 33563, 46376, 62832, 83657, 109668, 141778, 181001, 228459, 285384, 353127, 433160, 527085, 636636, 763686, 910252, 1078500, 1270752, 1489488, 1737355, 2017169, 2331924 (list; graph; refs; listen; history; text; internal format)
 OFFSET 6,2 REFERENCES P. A. Piza, Fermat coefficients, Math. Mag., 27 (1954), 141-146. N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence). N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS Vincenzo Librandi, Table of n, a(n) for n = 6..1000 Index to sequences with linear recurrences with constant coefficients, signature (6,-15,19,-9,-9,18,-9,-9,19,-15,6,-1). FORMULA G.f.: (1+3*x+3*x^7+x^8+3*x^2-4*x^3+10*x^4-4*x^5+3*x^6)/(x^6+x^3+1)/(-1+x)^6 (see MAPLE line). MAPLE (1+3*z+3*z^7+z^8+3*z^2-4*z^3+10*z^4-4*z^5+3*z^6)/(z^6+z^3+1)/(-1+z)^6; MATHEMATICA CoefficientList[Series[(1+3*x+3*x^7+x^8+3*x^2-4*x^3+10*x^4-4*x^5+3*x^6)/(x^6+x^3+1)/(-1+x)^6, {x, 0, 40}], x] (* Vincenzo Librandi, Mar 28 2012 *) PROG (PARI) Vec((1+3*z+3*z^7+z^8+3*z^2-4*z^3+10*z^4-4*z^5+3*z^6)/(z^6+z^3+1)/(z-1)^6+O(x^99)) \\ Charles R Greathouse IV, Mar 28, 2012 CROSSREFS Sequence in context: A062783 A172464 A027441 * A061927 A051923 A180670 Adjacent sequences:  A000968 A000969 A000970 * A000972 A000973 A000974 KEYWORD nonn,easy,changed AUTHOR EXTENSIONS More terms from Sean A. Irvine, Sep 25 2011 STATUS approved

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