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

0,2

Comments

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

Links

Table of n, a(n) for n=0..99.

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

Formula

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

Example

0.1208019218617061294237231569887920563...

Mathematica

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

Crossrefs

Cf. A274983, A274985, A062073, A227681.

Sequence in context: A195298 A010581 A356920 * A348510 A200489 A011124

Adjacent sequences: A276984 A276985 A276986 * A276988 A276989 A276990

Keyword

nonn,cons

Author

Vladimir Reshetnikov, Sep 24 2016

Status

approved