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A006045 Sum of orders of all 2 X 2 matrices with entries mod n.
(Formerly M3946)
+0
2
1, 26, 272, 722, 5270, 5260, 37358 (list; graph; listen)
OFFSET

1,2

COMMENT

The order of a matrix M over Z/(nZ) is the smallest k such that M^k is idempotent.

REFERENCES

Wilansky, Albert; Spectral decomposition of matrices for high school students. Math. Mag. 41 1968 51-59.

CROSSREFS

Adjacent sequences: A006042 A006043 A006044 this_sequence A006046 A006047 A006048

Sequence in context: A059744 A016106 A092723 this_sequence A022686 A130901 A020925

KEYWORD

nonn

AUTHOR

njas, Albert Wilansky

EXTENSIONS

The article gives an incorrect value for a(5).

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Last modified May 16 01:24 EDT 2008. Contains 139630 sequences.


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