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A034583 Dimension of an irreducible R-module for Clifford algebra Cl_n. 6
1, 2, 4, 4, 8, 8, 8, 8, 16, 32, 64, 64, 128, 128, 128, 128, 256, 512, 1024, 1024, 2048, 2048, 2048, 2048, 4096, 8192, 16384, 16384, 32768, 32768, 32768, 32768, 65536, 131072, 262144, 262144, 524288, 524288, 524288, 524288, 1048576, 2097152, 4194304, 4194304, 8388608, 8388608, 8388608, 8388608, 16777216, 33554432, 67108864, 67108864, 134217728 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

H. Blaine Lawson, Jr. and M.-L. Michelsohn, Spin Geometry, Princeton, p. 33.

Pertti Lounesto, Clifford Algebras and Spinors, Cambridge, 1997, p. 226.

LINKS

Colin Barker, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,16).

FORMULA

a(n) = 2^A034584(n). a(n+8) = 16*a(n).

G.f.: -(8*x^7+8*x^6+8*x^5+8*x^4+4*x^3+4*x^2+2*x+1) / ((2*x^2-2*x+1)*(2*x^2-1)*(2*x^2+1)*(2*x^2+2*x+1)). - Colin Barker, Mar 27 2015

PROG

(PARI) Vec(-(8*x^7+8*x^6+8*x^5+8*x^4+4*x^3+4*x^2+2*x+1) / ((2*x^2-2*x+1)*(2*x^2-1)*(2*x^2+1)*(2*x^2+2*x+1)) + O(x^100)) \\ Colin Barker, Mar 27 2015

CROSSREFS

Cf. A034584, A034585, A034586.

Sequence in context: A098820 A296613 A062383 * A076347 A207872 A140513

Adjacent sequences:  A034580 A034581 A034582 * A034584 A034585 A034586

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified July 9 16:50 EDT 2020. Contains 335545 sequences. (Running on oeis4.)