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A140044 Sequence generated from the 5/5Z addition table considered as a matrix. +0
3
1, 20, 175, 2025, 19500, 200625, 1990625, 2012500, 199828125, 2000234373, 19996875000, 200004296875 (list; graph; listen)
OFFSET

1,2

COMMENT

Analogous sequence for Z/4Z = A095897; and for Z/3Z = A007070.

a(n)/a(n-1) tends to 10.

FORMULA

Consider the 5/5Z addition table considered as matrix X = [0,1,2,3,4; 1,2,3,4,0; 2,3,4,0,1; 3,4,0,1,2; 4,0,1,2,3]. Then a(n) = term (1,2) of X^n.

EXAMPLE

a(5) = 19500 since term (1,2) of X^5 = 19500.

CROSSREFS

Cf. A007070, A095897.

Sequence in context: A027791 A047819 A163689 this_sequence A027332 A159538 A091983

Adjacent sequences: A140041 A140042 A140043 this_sequence A140045 A140046 A140047

KEYWORD

nonn

AUTHOR

Gary W. Adamson and Roger L. Bagula (qntmpkt(AT)yahoo.com), May 02 2008

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.


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