Search: id:A102817 Results 1-1 of 1 results found. %I A102817 %S A102817 2,1,7,9,9,9,9,7,6,4,4,9,9,9,8,8,1,4,6,8,6,2,8,8,1,3,9,5,7,7,9,3,6,0,9, %T A102817 8,9,0,7,2,6,7,9,7,8,9,0,9,7,3,0,0,5,6,5,4,8,3,2,8,8,5,2,1,2,2,4,0,4,2, %U A102817 3,7,7,2,0,9,6,4,2,6,1,4,9,8,3,9,2,3,1,1,2,6,8,1,5,0,7,1,6,5,3,3,0,8,6 %N A102817 Decimal expansion of Gamma(delta)^2 where delta is the Feigenbaum bifurcation velocity constant (A006890). %C A102817 Let x be this constant, then the Integral_{1...x} sin(t)/sqrt(t) dt = .655555692248871113068... %C A102817 delta^2 = 21.8014436664499573..., (delta/Gamma(delta))^2 = .10000663312663433933000349... %C A102817 If s is solution of Gamma(s) - sqrt(218) = 0 then 1/((s - delta)*Gamma(delta)^6) = 2.5555951358396... whereas a^(Pi/4) = 2.055596478435... where a is Feigenbaum alpha constant (A006891), the difference = 0.4999986574... ~ 1/(2 + 10^-5.27) %C A102817 10*cos(Gamma(delta)^2) + Pi = -0.199999019922688714710053... %H A102817 Feigenbaum constants to 1018 decimal places %e A102817 217.99997644999881468628813957793609890726797890973... %t A102817 Set delta then RealDigits[Gamma[delta]^2, 10, 110][[1]] %Y A102817 Cf. A006890, A006891. %Y A102817 Cf. A006891. %Y A102817 Sequence in context: A144749 A021463 A141513 this_sequence A026252 A032298 A032210 %Y A102817 Adjacent sequences: A102814 A102815 A102816 this_sequence A102818 A102819 A102820 %K A102817 cons,nonn %O A102817 3,1 %A A102817 Gerald McGarvey (gerald.mcgarvey(AT)comcast.net), Feb 26 2005 Search completed in 0.001 seconds