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A303817 Decimal expansion of 360/17. 1

%I #37 Dec 22 2019 19:12:42

%S 2,1,1,7,6,4,7,0,5,8,8,2,3,5,2,9,4,1,1,7,6,4,7,0,5,8,8,2,3,5,2,9,4,1,

%T 1,7,6,4,7,0,5,8,8,2,3,5,2,9,4,1,1,7,6,4,7,0,5,8,8,2,3,5,2,9,4,1,1,7,

%U 6,4,7,0,5,8,8,2,3,5,2,9,4,1,1,7,6,4,7,0,5,8,8,2,3,5,2,9,4,1,1,7,6,4,7,0,5

%N Decimal expansion of 360/17.

%C Decimal expansion of the external angle of the regular heptadecagon (in degrees).

%C The repeating pattern [1, 7, 6, 4, 7, 0, 5, 8, 8, 2, 3, 5, 2, 9, 4, 1] is the same as A007450. - _Michael B. Porter_, Jun 11 2018

%C Period 16. - _Eric Chen_, Jun 14 2018

%C Essentially the same as A021089. - _R. J. Mathar_, Aug 16 2018

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Heptadecagon">Heptadecagon</a>

%F Equals 21 + (3/17) = 180 - A303816.

%F From _Chai Wah Wu_, Dec 20 2019: (Start)

%F a(n) = a(n-1) - a(n-8) + a(n-9) for n > 11.

%F G.f.: x^2*(-2*x^9 - 7*x^8 + 7*x^7 - 3*x^6 + 2*x^5 + x^4 - 6*x^3 + x - 2)/((x - 1)*(x^8 + 1)). (End)

%e 21.176470588235294117647058823529411764705882352941176470588235294...

%t RealDigits[360/17, 10, 111][[1]] (* _Robert G. Wilson v_, Jun 13 2018 *)

%Y Cf. A007450, A019434, A210644, A210649, A303816.

%K nonn,cons,easy

%O 2,1

%A _Omar E. Pol_, Apr 30 2018

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