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Decimal expansion of a constant related to A007660.
4

%I #7 May 20 2015 17:39:42

%S 1,1,1,3,0,5,7,9,7,5,9,0,2,9,3,1,9,3,2,8,5,3,5,9,7,7,0,7,1,6,7,5,8,4,

%T 9,1,9,0,6,6,0,0,1,8,1,5,1,0,1,8,6,5,2,7,2,0,1,4,3,7,9,7,2,4,2,0,6,9,

%U 2,7,7,1,7,2,9,7,9,8,8,2,5,9,3,8,1,6,0,9,3,6,1,4,5,4,4,5,9,4,3,5,2,2,3,4,5

%N Decimal expansion of a constant related to A007660.

%F Equals limit n->infinity (A007660(n))^((2/(1+sqrt(5)))^n).

%e 1.1130579759029319328535977071675849190660018151018652720143797242069...

%t A007660 = RecurrenceTable[{a[1]==0, a[2]==N[1,200], a[n]==a[n-1]*a[n-2]+1},a[n],{n,1,30}]; Do[Print[N[Exp[c2]/.Solve[Table[Log[A007660[[n]]]==c1*((1-Sqrt[5])/2)^n + c2*((1+Sqrt[5])/2)^n, {n,k,k+1}]], 120][[1]]],{k, Length[A007660]-2, Length[A007660]-1}];

%Y Cf. A007660, A076949, A250309, A258112.

%K nonn,cons

%O 1,4

%A _Vaclav Kotesovec_, May 20 2015