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A258112 Decimal expansion of a constant related to A001056. 3
1, 7, 9, 7, 8, 7, 8, 4, 9, 0, 0, 0, 9, 1, 6, 0, 4, 8, 1, 3, 5, 5, 9, 5, 0, 8, 8, 3, 7, 0, 3, 1, 3, 5, 2, 1, 6, 1, 7, 9, 3, 6, 6, 5, 2, 6, 5, 0, 1, 9, 5, 2, 5, 3, 6, 8, 5, 5, 2, 3, 6, 2, 5, 4, 2, 7, 4, 5, 5, 8, 4, 1, 3, 2, 4, 6, 3, 6, 0, 7, 4, 1, 7, 3, 9, 2, 7, 8, 8, 0, 5, 6, 9, 3, 2, 4, 0, 9, 5, 6, 6, 8, 5, 9, 9 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..105.

FORMULA

Equals limit n->infinity (A001056(n))^((2/(1+sqrt(5)))^n).

EXAMPLE

1.7978784900091604813559508837031352161793665265019525368552362542745...

MATHEMATICA

A001056 = RecurrenceTable[{a[0]==1, a[1]==N[3, 200], a[n] == a[n-1]*a[n-2]+1}, a[n], {n, 1, 30}]; Do[Print[N[Exp[c2]/.Solve[Table[Log[A001056[[n]]] == c1*((1-Sqrt[5])/2)^n + c2*((1+Sqrt[5])/2)^n, {n, k, k+1}]], 120][[1]]], {k, Length[A001056]-2, Length[A001056]-1}];

CROSSREFS

Cf. A001056, A076949, A258113.

Sequence in context: A135000 A257239 A199742 * A076668 A010729 A182688

Adjacent sequences:  A258109 A258110 A258111 * A258113 A258114 A258115

KEYWORD

nonn,cons

AUTHOR

Vaclav Kotesovec, May 20 2015

STATUS

approved

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Last modified March 23 03:01 EDT 2019. Contains 321422 sequences. (Running on oeis4.)