A258113 Decimal expansion of a constant related to A007660.

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, 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, 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

Offset: 1

Author

Vaclav Kotesovec, May 20 2015

Keywords

• nonn
• cons

Examples

			1.1130579759029319328535977071675849190660018151018652720143797242069...
		

Crossrefs

Cf. A007660, A076949, A250309, A258112.

Programs

Mathematica

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}];

Formula

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