A295188 - OEIS

A295188

Decimal expansion of phi^3 * exp(1 - 1/phi), where phi is the golden ratio.

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

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OFFSET

1,1

LINKS

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

FORMULA

Equals ((1+sqrt(5))/2)^3 * exp(1 - 2/(1+sqrt(5))).

Equals limit n->infinity (A066399(n)/n!)^(1/n).

Equals limit n->infinity (A239761(n)/n!)^(1/n).

Equals limit n->infinity (A295183(n)/n!)^(1/n).

EXAMPLE

6.206527038397163731000740532186580585278052870847962022926...