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A000970
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Fermat coefficients.
(Formerly M4386 N1846)
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2
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1, 7, 25, 66, 143, 273, 476, 775, 1197, 1771, 2530, 3510, 4750, 6293, 8184, 10472, 13209, 16450, 20254, 24682, 29799, 35673, 42375, 49980, 58565, 68211, 79002, 91025, 104371, 119133, 135408, 153296, 172900, 194327, 217686, 243090, 270655
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listen;
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OFFSET
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5,2
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
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LINKS
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FORMULA
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G.f.: x^5(3x^5 + 2x^4 + 4x^3 + 3x^2 + 3x + 1)/((1-x^5)(1-x)^4).
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MAPLE
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A000970:=-(2*z**4+3*z**5+3*z**2+4*z**3+3*z+1)/(z**4+z**3+z**2+z+1)/(z-1)**5; # Simon Plouffe in his 1992 dissertation
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MATHEMATICA
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CoefficientList[Series[(3x^5+2x^4+4x^3+3x^2+3x+1)/((1-x^5)(1-x)^4), {x, 0, 50}], x] (* Vincenzo Librandi, Mar 28 2012 *)
LinearRecurrence[{4, -6, 4, -1, 1, -4, 6, -4, 1}, {1, 7, 25, 66, 143, 273, 476, 775, 1197}, 40] (* Harvey P. Dale, Sep 06 2017 *)
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PROG
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(Haskell)
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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