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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

N. J. A. Sloane.

EXTENSIONS

More terms from Sean A. Irvine, Sep 25 2011

STATUS

approved

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Last modified May 19 02:47 EDT 2013. Contains 225428 sequences.