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A258113 Decimal expansion of a constant related to A007660. 4
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 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

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

FORMULA

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

EXAMPLE

1.1130579759029319328535977071675849190660018151018652720143797242069...

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}];

CROSSREFS

Cf. A007660, A076949, A250309, A258112.

Sequence in context: A019915 A052123 A285471 * A174190 A061035 A225233

Adjacent sequences:  A258110 A258111 A258112 * A258114 A258115 A258116

KEYWORD

nonn,cons

AUTHOR

Vaclav Kotesovec, May 20 2015

STATUS

approved

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Last modified November 18 09:55 EST 2019. Contains 329261 sequences. (Running on oeis4.)