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A036567
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Basic numbers used in Sedgewick-Incerpi upper bound for shell sort.
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2
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3, 7, 16, 41, 101, 247, 613, 1529, 3821, 9539, 23843, 59611, 149015, 372539, 931327, 2328307, 5820767, 14551919, 36379789, 90949471, 227373677, 568434193, 1421085473, 3552713687, 8881784201, 22204460497, 55511151233, 138777878081
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history;
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OFFSET
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1,1
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REFERENCES
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D. E. Knuth, The Art of Computer Programming, Vol. 3, Sorting and Searching, 2nd ed, section 5.2.1, pg 91.
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LINKS
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Table of n, a(n) for n=1..28.
Robert Sedgewick, Analysis of shellsort and related algorithms, Fourth European Symposium on Algorithms, Barcelona, September, 1996.
Index entries for sequences related to sorting
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FORMULA
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a(n) is the smallest number >= 2.5^n that is relatively prime to all previous terms in the sequence.
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EXAMPLE
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2.5^4=39.0625, 41 is the next integer that is relatively prime to 3, 7 and 16.
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CROSSREFS
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Cf. A036569.
Sequence in context: A001698 A029761 A009337 * A018023 A144977 A058300
Adjacent sequences: A036564 A036565 A036566 * A036568 A036569 A036570
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane.
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EXTENSIONS
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Better description and more terms from Jud McCranie, Jan 05 2001
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STATUS
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approved
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