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A000971
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Fermat coefficients.
(Formerly M4623 N1975)
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1
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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
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OFFSET
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6,2
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REFERENCES
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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).
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LINKS
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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).
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FORMULA
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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).
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MAPLE
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(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;
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MATHEMATICA
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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 *)
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PROG
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(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
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CROSSREFS
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Sequence in context: A062783 A172464 A027441 * A061927 A051923 A180670
Adjacent sequences: A000968 A000969 A000970 * A000972 A000973 A000974
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KEYWORD
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nonn,easy,changed
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AUTHOR
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N. J. A. Sloane.
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EXTENSIONS
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More terms from Sean A. Irvine, Sep 25 2011
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STATUS
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approved
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