cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A373024 Decimal expansion of Sum_{k>=0} sin(4*k*Pi/5)/2^k.

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%I A373024 #7 Mar 30 2025 02:40:38
%S A373024 1,4,2,7,3,4,4,3,4,4,1,6,5,8,0,9,5,2,2,5,4,7,1,3,7,4,2,9,4,9,3,3,8,3,
%T A373024 9,3,1,2,0,7,8,5,1,4,8,0,8,0,6,7,8,8,0,5,9,7,4,9,2,2,3,2,7,5,1,2,2,9,
%U A373024 9,5,4,7,0,3,0,0,6,9,4,6,4,4,5,9,4,8
%N A373024 Decimal expansion of Sum_{k>=0} sin(4*k*Pi/5)/2^k.
%F A373024 Equals sqrt(10 - 2*sqrt(5))/(12 + 2*sqrt(5)).
%F A373024 Equals (-1)*Sum_{k>=0} sin(6*k*Pi/5)/2^k.
%F A373024 Minimal polynomial: 5 - 265*x^2 + 961*x^4.
%e A373024 0.14273443441658095225471374294933839312078514...
%t A373024 {b, m, h} = {2, 5, 4}; s = Sum[Sin[ h k Pi/m]/b^k, {k, 0, Infinity}]
%t A373024 d = N[s, 100]
%t A373024 First[RealDigits[d], 100]
%Y A373024 Cf. A373021 (includes guide to related sequences).
%K A373024 nonn,cons
%O A373024 0,2
%A A373024 _Clark Kimberling_, Jul 20 2024