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Decimal expansion of 360/(1 + phi^2), where phi = A001622.
1

%I #17 Jun 12 2026 03:16:13

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

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

%U 2,4,6,6,7,7,0,3,9,0,2,3,6,2,1,0,8,1,0,8,1,2,9,8,3,6,3,8,3,8,1,0

%N Decimal expansion of 360/(1 + phi^2), where phi = A001622.

%C This constant gives the divergence angle between leaf primordia in degrees. See Adler et al. link on page 234.

%H I. Adler, D. Barabe, and R. V. Jean, <a href="https://doi.org/10.1006/anbo.1997.0422">A History of the Study of Phyllotaxis</a>, Annals of Botany, Volume 80, Issue 3, 1997, Pages 231-244.

%H L. Bravais and A. Bravais, <a href="https://explore.library.leeds.ac.uk/special-collections-explore/615040">Essai sur la disposition des feuilles curvisériées</a>, Annales des Sciences Naturelles Botanique (1837) 7: 42-110; 193-221; 291-348; 8: 11-42.

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Primordium">Primordium</a>.

%H <a href="/index/Al#algebraic_02">Index entries for algebraic numbers, degree 2</a>.

%F Minimal polynomial: x^2 - 360*x + 25920. - _Amiram Eldar_, Jun 12 2026

%e 99.50155281000757092926974792567405552413773905...

%t RealDigits[360/(1+GoldenRatio^2),10,100][[1]]

%Y Cf. A001622, A096627, A104457, A131988, A296184.

%Y Cf. A392302 (in radians).

%K nonn,cons,easy

%O 2,1

%A _Stefano Spezia_, Jan 06 2026