# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a159628 Showing 1-1 of 1 %I A159628 #12 Sep 08 2022 08:45:44 %S A159628 4,9,3,4,6,0,7,1,1,4,7,4,8,7,6,0,8,8,0,6,4,4,3,7,9,4,3,9,7,5,3,0,9,9, %T A159628 7,0,8,2,9,3,7,2,4,9,0,1,9,0,4,6,2,9,2,3,7,1,0,0,6,3,9,6,1,7,6,4,6,5, %U A159628 7,9,5,5,0,5,3,0,6,2,0,6,4,1,5,4,6,0,2,7,3,8,9,4,5,8,8,7,2,8,5,1,5,6,1,9,7 %N A159628 Decimal expansion of (855171 + 556990*sqrt(2))/577^2. %C A159628 Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 0, b = A130005. %C A159628 Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 1, b = A159626. %H A159628 G. C. Greubel, Table of n, a(n) for n = 1..10000 %F A159628 Equals (2180 + 1022*sqrt(2))/(2180 - 1022*sqrt(2)). %F A159628 Equals (3 + 2*sqrt(2))*(34 - sqrt(2))^2/(34 + sqrt(2))^2. %e A159628 (855171 + 556990*sqrt(2))/577^2 = 4.93460711474876088064... %t A159628 RealDigits[(855171+556990Sqrt[2])/577^2,10,120][[1]] (* _Harvey P. Dale_, Aug 15 2012 *) %o A159628 (PARI) (855171+556990*sqrt(2))/577^2 \\ _G. C. Greubel_, May 10 2018 %o A159628 (Magma) (855171+556990*Sqrt(2))/577^2; // _G. C. Greubel_, May 10 2018 %Y A159628 Cf. A130005, A159626, A002193 (decimal expansion of sqrt(2)), A159627 (decimal expansion of (579+34*sqrt(2))/577). %K A159628 cons,nonn %O A159628 1,1 %A A159628 _Klaus Brockhaus_, Apr 21 2009 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE