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Search: id:A057367
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| 0, 0, 0, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 9, 9, 9, 10, 10, 11, 11, 11, 12, 12, 12, 13, 13, 13, 14, 14, 15, 15, 15, 16, 16, 16, 17, 17, 17, 18, 18, 19, 19, 19, 20, 20, 20, 21, 21, 22, 22, 22, 23, 23, 23, 24, 24, 24, 25, 25, 26, 26, 26, 27, 27, 27, 28
(list; graph; listen)
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OFFSET
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0,7
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COMMENT
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The cyclic pattern (and numerator of the gf) is computed using Euclid's algorithm for GCD.
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REFERENCES
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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.
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LINKS
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Index entries for sequences related to Beatty sequences
N. Dershowitz and E. M. Reingold, Calendrical Calculations Web Site
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FORMULA
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G.f.: x^3(1 + x^3 + x^6 + x^9 + x^11 + x^14 + x^17 + x^20 + x^22 + x^25 + x^28)/((1 - x)(1 - x^30)).
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CROSSREFS
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Similar pattern in Islamic leap years A057347. 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: A085182 A087739 A127763 this_sequence A032634 A057366 A061375
Adjacent sequences: A057364 A057365 A057366 this_sequence A057368 A057369 A057370
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KEYWORD
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nonn,easy
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AUTHOR
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Mitch Harris (Harris.Mitchell(AT)mgh.harvard.edu)
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