

A024006


a(n) = 1  n^8.


5



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

0,3


LINKS

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).


FORMULA

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


MATHEMATICA

Table[1n^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 *)


PROG

(MAGMA) [1n^8: n in [0..50]]; // Vincenzo Librandi, Apr 29 2011
(PARI) a(n)=1n^8 \\ Charles R Greathouse IV, Oct 07 2015


CROSSREFS

Cf. A024004.
Sequence in context: A022524 A261032 A069093 * A258809 A321553 A321547
Adjacent sequences: A024003 A024004 A024005 * A024007 A024008 A024009


KEYWORD

sign,easy


AUTHOR

N. J. A. Sloane.


STATUS

approved



