A392302 Decimal expansion of 2*Pi/(1 + phi^2), where phi = A001622.

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

Offset

1,2

Comments

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

Links

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

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.

Example

1.73662970738164795983136845463852392430386756196...

Mathematica

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

Crossrefs

Cf. A001622, A019692, A096627, A104457, A131988, A296184.

Cf. A392301 (in degrees).

Sequence in context: A019819 A215693 A197028 * A257819 A182111 A344916

Adjacent sequences: A392299 A392300 A392301 * A392303 A392304 A392305

Keyword

nonn,cons,easy

Author

Stefano Spezia, Jan 06 2026

Status

approved