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A054720 Number of 5-ary sequences with primitive period n. +0
6
1, 5, 20, 120, 600, 3120, 15480, 78120, 390000, 1953000, 9762480, 48828120, 244124400, 1220703120, 6103437480, 30517574880, 152587500000, 762939453120, 3814695297000, 19073486328120, 95367421874400, 476837158124880, 2384185742187480 (list; graph; listen)
OFFSET

0,2

COMMENT

Equivalently, output sequences with primitive period n from a simple cycling shift register.

REFERENCES

E. N. Gilbert and J. Riordan, Symmetry types of periodic sequences, Illinois J. Math., 5 (1961), 657-665.

FORMULA

Sum mu(d)*5^(n/d); d|n.

a(0) = 1, a(n) = n * A001692(n).

CROSSREFS

Sequence in context: A020039 A117736 A028944 this_sequence A110373 A081067 A024066

Adjacent sequences: A054717 A054718 A054719 this_sequence A054721 A054722 A054723

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Apr 20 2000

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Last modified November 25 14:49 EST 2009. Contains 167514 sequences.


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