A276987 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.

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, 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, 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

Offset: 0

Author

Vladimir Reshetnikov, Sep 24 2016

Keywords

• nonn
• cons

Comments

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

Examples

			0.1208019218617061294237231569887920563...
		

Links

• Eric Weisstein's World of Mathematics, q-Pochhammer Symbol, Golden Ratio.

Crossrefs

Cf. A274983, A274985, A062073, A227681.

Programs

Mathematica

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

Formula

(1/phi)inf = Product{k > 0} (1 - 1/phi^k).