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

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%I A034584 #33 Jul 08 2025 21:19:08
%S A034584 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,
%T A034584 15,15,15,16,17,18,18,19,19,19,19,20,21,22,22,23,23,23,23,24,25,26,26,
%U A034584 27,27,27,27,28,29,30,30,31,31,31,31
%N A034584 Radon-Hurwitz numbers: log_2 of dimension of an irreducible R-module for Clifford algebra Cl_n.
%D A034584 H. Blaine Lawson, Jr. and M.-L. Michelsohn, Spin Geometry, Princeton, p. 33.
%D A034584 Pertti Lounesto, Clifford Algebras and Spinors, Cambridge, 1997, p. 226.
%F A034584 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.
%F A034584 G.f.: x*(1+ x + x^3 + x^7)/((1 - x)*(1 - x^8)). - _Wolfdieter Lang_, Oct 03 2014
%o A034584 (PARI) concat(0, Vec(x*(1+ x + x^3 + x^7)/((1 - x)*(1 - x^8)) + O(x^80))) \\ _Michel Marcus_, Oct 03 2014
%Y A034584 Cf. A003484, A034583-A034586.
%K A034584 nonn,easy
%O A034584 0,3
%A A034584 _N. J. A. Sloane_