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A057363 Floor(8n/13). +0
15
0, 0, 1, 1, 2, 3, 3, 4, 4, 5, 6, 6, 7, 8, 8, 9, 9, 10, 11, 11, 12, 12, 13, 14, 14, 15, 16, 16, 17, 17, 18, 19, 19, 20, 20, 21, 22, 22, 23, 24, 24, 25, 25, 26, 27, 27, 28, 28, 29, 30, 30, 31, 32, 32, 33, 33, 34, 35, 35, 36, 36, 37, 38, 38, 39, 40, 40, 41, 41, 42, 43, 43, 44, 44 (list; graph; listen)
OFFSET

0,5

COMMENT

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

REFERENCES

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

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

LINKS

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

FORMULA

G.f.: x^2(1 + x^2 + x^4 + x^5 + x^7 + x^9 + x^10 + x^12)/((1 - x)(1 - x^13)).

CROSSREFS

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

Note that 20 appears twice. Different from A005206, A060143.

Sequence in context: A055930 A079952 A090638 this_sequence A073869 A060143 A005206

Adjacent sequences: A057360 A057361 A057362 this_sequence A057364 A057365 A057366

KEYWORD

nonn,easy

AUTHOR

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

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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