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Decimal expansion of (phi-1)_inf = (1/phi)_inf, where (q)_inf is the q-Pochhammer symbol, phi = (1+sqrt(5))/2 is the golden ratio.
6

%I #8 Jul 16 2019 04:23:35

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

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

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

%N Decimal expansion of (phi-1)_inf = (1/phi)_inf, where (q)_inf is the q-Pochhammer symbol, phi = (1+sqrt(5))/2 is the golden ratio.

%C (1/phi)_inf appears as a coefficient in asymptotics of A274983, A274985.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/q-PochhammerSymbol.html">q-Pochhammer Symbol</a>, <a href="http://mathworld.wolfram.com/GoldenRatio.html">Golden Ratio</a>.

%F (1/phi)_inf = Product_{k > 0} (1 - 1/phi^k).

%e 0.1208019218617061294237231569887920563...

%t RealDigits[QPochhammer[1/GoldenRatio], 10, 100][[1]]

%Y Cf. A274983, A274985, A062073, A227681.

%K nonn,cons

%O 0,2

%A _Vladimir Reshetnikov_, Sep 24 2016