A392301 Decimal expansion of 360/(1 + phi^2), where phi = A001622.

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, 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, 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

Offset

2,1

Comments

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

Links

Table of n, a(n) for n=2..101.

I. Adler, D. Barabe, and R. V. Jean, A History of the Study of Phyllotaxis, Annals of Botany, Volume 80, Issue 3, 1997, Pages 231-244.

L. Bravais and A. Bravais, Essai sur la disposition des feuilles curvisériées, Annales des Sciences Naturelles Botanique (1837) 7: 42-110; 193-221; 291-348; 8: 11-42.

Wikipedia, Primordium.

Index entries for algebraic numbers, degree 2.

Formula

Minimal polynomial: x^2 - 360*x + 25920. - Amiram Eldar, Jun 12 2026

Example

99.50155281000757092926974792567405552413773905...

Mathematica

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

Crossrefs

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

Cf. A392302 (in radians).

Sequence in context: A218708 A387449 A010550 * A192106 A346572 A343056

Adjacent sequences: A392298 A392299 A392300 * A392302 A392303 A392304

Keyword

nonn,cons,easy

Author

Stefano Spezia, Jan 06 2026

Status

approved