A045496 Packing density for n balls in complex projective plane using Fubini-Study metric (numerators).

1, 1, 3, 1, 20, 24, 63, 288, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1

Offset

1,3

Links

Table of n, a(n) for n=1..97.

D. McDuff, Symplectic Structures--A New Approach to Geometry, Notices Amer. Math. Soc. 45(8) (1998), pp. 952-960.

Index entries for linear recurrences with constant coefficients, signature (1).

Formula

a(n) = 1 for n >= 9 [from McDuff]. - Sean A. Irvine, Mar 12 2021

G.f.: x*(1 + 2*x^2 - 2*x^3 + 19*x^4 + 4*x^5 + 39*x^6 + 225*x^7 - 287*x^8)/(1 - x). - Elmo R. Oliveira, Jul 31 2024

Mathematica

PadRight[{1, 1, 3, 1, 20, 24, 63, 288}, 100, 1] (* Paolo Xausa, Aug 01 2024 *)

Crossrefs

Cf. A045497.

Cf. A030042. - R. J. Mathar, Oct 18 2008

Sequence in context: A181832 A139723 A030042 * A024432 A334910 A016531

Adjacent sequences: A045493 A045494 A045495 * A045497 A045498 A045499

Keyword

nonn,easy,frac

Author

N. J. A. Sloane

Status

approved