A034584 Radon-Hurwitz numbers: log_2 of dimension of an irreducible R-module for Clifford algebra Cl_n.

0, 1, 2, 2, 3, 3, 3, 3, 4, 5, 6, 6, 7, 7, 7, 7, 8, 9, 10, 10, 11, 11, 11, 11, 12, 13, 14, 14, 15, 15, 15, 15, 16, 17, 18, 18, 19, 19, 19, 19, 20, 21, 22, 22, 23, 23, 23, 23, 24, 25, 26, 26, 27, 27, 27, 27, 28, 29, 30, 30, 31, 31, 31, 31

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

References

• H. Blaine Lawson, Jr. and M.-L. Michelsohn, Spin Geometry, Princeton, p. 33.
• Pertti Lounesto, Clifford Algebras and Spinors, Cambridge, 1997, p. 226.

Crossrefs

Cf. A003484, A034583-A034586.

Programs

PARI

concat(0, Vec(x*(1+ x + x^3 + x^7)/((1 - x)*(1 - x^8)) + O(x^80))) \\ Michel Marcus, Oct 03 2014

Formula

a(n+8) = a(n) + 4, n >= 0, a(0) = 0, a(1) = 1, a(2)= a(3) = 2, a(4) = a(5) = a(6) = a(7) =3.

G.f.: x*(1+ x + x^3 + x^7)/((1 - x)*(1 - x^8)). - Wolfdieter Lang, Oct 03 2014