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A057356 floor(2n/7). +0
15
0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 18, 18, 18, 18, 19, 19, 19, 20, 20, 20, 20, 21, 21, 21, 22, 22, 22 (list; graph; listen)
OFFSET

0,8

COMMENT

The cyclic pattern (and numerator of the gf) is computed using Euclid's algorithm for GCD.

REFERENCES

R. L. Graham, D. E. Knuth and O. Patashnik, Concrete Mathematics, Addison-Wesley, NY, 1994.

N. Dershowitz and E. M. Reingold, Calendrical Calculations, Cambridge University Press, 1997.

LINKS

N. Dershowitz and E. M. Reingold, Calendrical Calculations Web Site

FORMULA

G.f.: x^4(1 + x^4)/((1 - x)(1 - x^7)).

CROSSREFS

Floors of other ratios: A004526, A002264, A002265, A004523, A057353, A057354, A057355, A057356, A057357, A057358, A057359, A057360, A057361, A057362, A057363, A057364, A057365, A057366, A057367.

Sequence in context: A034973 A066927 A060065 this_sequence A020913 A025787 A057810

Adjacent sequences: A057353 A057354 A057355 this_sequence A057357 A057358 A057359

KEYWORD

nonn,easy

AUTHOR

Mitch Harris (Harris.Mitchell(AT)mgh.harvard.edu)

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.


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