A390931 - OEIS

A390931

Decimal expansion of 2^(1/6)*sqrt(1+phi^2)/2, where phi = A001622.

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

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OFFSET

1,3

LINKS

Table of n, a(n) for n=1..100.

Michael K.-H. Kiessling and David J. Wales, A note on the minimal pairwise distance in optimal Lennard-Jones N-body clusters, arXiv:2511.15008 [physics.atm-clus], 2025. See page 4.

Index entries for algebraic numbers, degree 12

FORMULA

Equals A010768*A019881.

Equals sqrt(5 + sqrt(5))/2^(4/3).

Equals (25/32 + 5*sqrt(5)/16)^(1/6).

Minimal polynomial: 1024*x^12 - 1600*x^6 + 125.