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A024006
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a(n) = 1 - n^8.
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5
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1, 0, -255, -6560, -65535, -390624, -1679615, -5764800, -16777215, -43046720, -99999999, -214358880, -429981695, -815730720, -1475789055, -2562890624, -4294967295, -6975757440, -11019960575, -16983563040, -25599999999, -37822859360, -54875873535
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OFFSET
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0,3
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..420
Index entries for linear recurrences with constant coefficients, signature (9, -36, 84, -126, 126, -84, 36, -9, 1).
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FORMULA
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Sum_{n>=2} -1/a(n) = 15/16 - Pi*(coth(Pi)/8) + Pi * (sin(sqrt(2)*Pi) + sinh(sqrt(2)*Pi)) / (4*sqrt(2) * (cos(sqrt(2)*Pi) - cosh(sqrt(2)*Pi))) = 0.0040926982992862873... . - Vaclav Kotesovec, Feb 14 2015
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MATHEMATICA
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Table[1-n^8, {n, 0, 40}] (* and *) LinearRecurrence[{9, -36, 84, -126, 126, -84, 36, -9, 1}, {1, 0, -255, -6560, -65535, -390624, -1679615, -5764800, -16777215}, 40] (* Vladimir Joseph Stephan Orlovsky, Apr 15 2011 *)
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PROG
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(MAGMA) [1-n^8: n in [0..50]]; // Vincenzo Librandi, Apr 29 2011
(PARI) a(n)=1-n^8 \\ Charles R Greathouse IV, Oct 07 2015
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CROSSREFS
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Cf. A024004.
Sequence in context: A022524 A261032 A069093 * A258809 A321553 A321547
Adjacent sequences: A024003 A024004 A024005 * A024007 A024008 A024009
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KEYWORD
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sign,easy
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AUTHOR
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N. J. A. Sloane.
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STATUS
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approved
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