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.
%I A019987 #49 Aug 29 2025 15:02:51 %S A019987 5,7,2,8,9,9,6,1,6,3,0,7,5,9,4,2,4,6,8,7,2,7,8,1,4,7,5,3,7,1,1,2,5,7, %T A019987 7,9,8,0,2,1,7,5,2,2,2,3,5,1,4,3,9,2,6,4,7,2,5,8,1,1,0,3,6,0,6,5,2,9, %U A019987 2,2,8,9,3,6,4,7,9,1,9,3,0,6,7,2,4,1,6,2,8,2,2,0,6,8,3,8,8,0,6 %N A019987 Decimal expansion of tangent of 89 degrees. %C A019987 Also cotangent of 1 degree. - _Mohammad K. Azarian_, Jan 21 2006 %C A019987 An algebraic integer of degree 24. - _Charles R Greathouse IV_, Aug 27 2017 %C A019987 The least k > 0 such that floor(cot(1°)*10^k) is prime is k = 39. - _M. F. Hasler_, May 19 2023 %H A019987 Ivan Panchenko, <a href="/A019987/b019987.txt">Table of n, a(n) for n = 2..1000</a>. %H A019987 Art of Problem Solving, <a href="https://artofproblemsolving.com/wiki/index.php/1996_USAMO_Problems/Problem_1">USAMO 1996, Problem 1</a>. %H A019987 Mohammad K. Azarian, <a href="http://www.jstor.org/stable/30044897">Forty-Five Nested Equilateral Triangles and cosecant of 1 degree, Problem 813</a>, College Mathematics Journal, Vol. 36, No. 5, November 2005, p. 413-414; <a href="http://www.jstor.org/stable/27646393">Solution</a>, College Mathematics Journal, Vol. 37, No. 5, November 2006, pp. 394-395. %H A019987 User ssaamil, <a href="https://www.reddit.com/r/math/comments/13fcvhz">I found a cool number I'd like to share, 57289961630759424687278147537112577980217</a>. In reddit.com/r/math, May 12 2023 %H A019987 <a href="/index/O#Olympiads">Index to sequences related to Olympiads</a>. %H A019987 <a href="/index/Al#algebraic_24">Index entries for algebraic numbers, degree 24</a> %F A019987 Equals (Sum_{k=1..90} 2*k*sin(2*k)) / 90, with k in degrees (link USAMO 1996). - _Bernard Schott_, Apr 30 2022 %F A019987 A largest of the 24 real-valued roots of 1 -48*x +x^24 -564*x^22 +21186*x^20 -269412*x^18 +1470447*x^16 -3923304*x^14 +5407388*x^12 -3923304*x^10 +1470447*x^8- 269412*x^6 +21186*x^4 -564*x^2 -48*x^23 +1456*x^21 -12432*x^19 +17424*x^17 +45344*x^15 -51744*x^13 -51744*x^11 +45344*x^9 +17424*x^7 -12432*x^5 +1456*x^3 =0.- _R. J. Mathar_, Aug 29 2025 %e A019987 57.28996... %p A019987 evalf(cot(Pi/180),100); # _Bernard Schott_, Apr 30 2022 %t A019987 First[RealDigits[Cot[Pi/180], 10, 100]] (* _Paolo Xausa_, Apr 23 2024 *) %o A019987 (PARI) tan(89*Pi/180) \\ _Charles R Greathouse IV_, Aug 27 2017 %Y A019987 Cf. A073449, A019899-A019986 (same for 1, ..., 88 degrees). %K A019987 nonn,cons,changed %O A019987 2,1 %A A019987 _N. J. A. Sloane_ %E A019987 Edited by _N. J. A. Sloane_, Aug 19 2008 at the suggestion of _R. J. Mathar_