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 A010767 #81 Jul 22 2025 11:04:40
%S A010767 1,1,8,9,2,0,7,1,1,5,0,0,2,7,2,1,0,6,6,7,1,7,4,9,9,9,7,0,5,6,0,4,7,5,
%T A010767 9,1,5,2,9,2,9,7,2,0,9,2,4,6,3,8,1,7,4,1,3,0,1,9,0,0,2,2,2,4,7,1,9,4,
%U A010767 6,6,6,6,8,2,2,6,9,1,7,1,5,9,8,7,0,7,8,1,3,4,4,5,3,8,1,3,7,6,7
%N A010767 Decimal expansion of 4th root of 2.
%C A010767 An algebraic integer of degree 4. - _Charles R Greathouse IV_, Nov 12 2014
%D A010767 Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 5.23, p. 407.
%H A010767 A.H.M. Smeets, <a href="/A010767/b010767.txt">Table of n, a(n) for n = 1..20001</a> (first 1000 digits from Vincenzo Librandi).
%H A010767 Jean-Paul Allouche, Henri Cohen, Michel Mendès France, and Jeffrey O. Shallit, <a href="https://doi.org/10.4064/aa-49-2-141-153">De nouveaux curieux produits infinis</a>, Acta Arithmetica, Vol. 49, No. 2 (1987), pp. 141-153; <a href="https://eudml.org/doc/206075">alternative link</a>.
%H A010767 Simon Plouffe, <a href="http://www.plouffe.fr/simon/constants/sqrsqrt2.txt">2^(1/4) or sqrt(sqrt(2)) to 20000 digits</a>.
%H A010767 Simon Plouffe, <a href="https://web.archive.org/web/20080205212939/https://worldwideschool.org/library/books/sci/math/MiscellaneousMathematicalConstants/chap83.html">2^(1/4) to 1024 places</a>.
%H A010767 Nikita Sidorov and Boris Solomyak, <a href="http://arxiv.org/abs/0909.3324">On the topology of sums in powers of an algebraic number</a>, arXiv:0909.3324 [math.NT], 2009-2011.
%H A010767 David Terr and Eric W. Weisstein, <a href="https://mathworld.wolfram.com/PisotNumber.html">Pisot Number</a>.
%H A010767 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/AlgebraicInteger.html">Algebraic integer</a>.
%H A010767 <a href="/index/Al#algebraic_04">Index entries for algebraic numbers, degree 4</a>.
%F A010767 Equals Product_{k>=0} (1 + (-1)^k/(4*k + 3)). - _Amiram Eldar_, Jul 25 2020
%F A010767 Equals Product_{k>=0} ((2*k+1)/(2*k+2))^(A000120(k)*(-1)^A000120(k)) (Allouche et al., 1987). - _Amiram Eldar_, Feb 04 2024
%e A010767 1.189207115002721066717499970560475915292972092...
%t A010767 RealDigits[N[2^(1/4),200]][[1]] (* _Vladimir Joseph Stephan Orlovsky_, Jan 24 2012 *)
%o A010767 (PARI) sqrtn(2,4) \\ _Charles R Greathouse IV_, Apr 14 2014
%o A010767 (PARI) weber(I) \\ _Charles R Greathouse IV_, Feb 04 2015
%Y A010767 Cf. A000120, A228497 (the multiplicative inverse).
%K A010767 nonn,cons,easy
%O A010767 1,3
%A A010767 _N. J. A. Sloane_