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A003569
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a(n) = least positive number m such that 4^m == +1 or -1 mod 2n + 1, with a(0) = 0 by convention.
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0
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0, 1, 1, 3, 3, 5, 3, 2, 2, 9, 3, 11, 5, 9, 7, 5, 5, 6, 9, 6, 5, 7, 6, 23, 21, 4, 13, 10, 9, 29, 15, 3, 3, 33, 11, 35, 9, 10, 15, 39, 27, 41, 4, 14, 11, 6, 5, 18, 12, 15, 25, 51, 6, 53, 9, 18, 7, 22, 6, 12, 55, 10, 25, 7, 7, 65, 9, 18, 17, 69, 23, 30, 7, 21, 37, 15, 12, 10, 13, 26, 33, 81, 10
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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COMMENTS
| Multiplicative suborder of 4 (mod 2n+1) = sord(4, 2n+1). - Harry J. Smith (hjsmithh(AT)sbcglobal.net), Feb 11 2005
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REFERENCES
| H. Cohen, Course in Computational Algebraic Number Theory, Springer, 1993, p. 25, Algorithm 1.4.3
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LINKS
| H. J. Smith, XICalc - Extra Precision Integer Calculator.
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics, Multiplicative Order.
S. Wolfram, Algebraic Properties of Cellular Automata (1984), Appendix B.
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CROSSREFS
| Sequence in context: A115155 A136549 A077924 * A066670 A013606 A190911
Adjacent sequences: A003566 A003567 A003568 * A003570 A003571 A003572
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KEYWORD
| easy,nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from Harry J. Smith (hjsmithh(AT)sbcglobal.net), Feb 11 2005
Edited by N. J. A. Sloane (njas(AT)research.att.com), May 22 2008
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