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Search: id:A096551
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| A096551 |
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Consecutive internal states of a linear congruential pseudo-random number generator with a parameter proposed by George Marsaglia as a "candidate for the best of all multipliers". |
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+0
3
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| 1, 69069, 475559465, 2801775573, 1790562961, 3104832285, 4238970681, 2135332261, 381957665, 1744831853, 1303896393, 1945705589, 2707602097, 4198202557, 3820321881, 201201733, 2583294017, 4003049741, 2417848425
(list; graph; listen)
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OFFSET
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1,2
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REFERENCES
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D. E. Knuth, The Art of Computer Programming Third Edition. Vol. 2 Seminumerical Algorithms. Chapter 3.3.4 The Spectral Test, Page 108. Addison-Wesley 1997.
Marsaglia, G., The structure of linear congruential sequences, in Applications of Number Theory to Numerical Analysis, (edited by S. K. Zaremba), Academic Press, New York, 249-286, 1972
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FORMULA
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a(1)=1, a(n) = 69069 * a(n-1) mod 2^32. The sequence is periodic with period length 2^32-1.
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CROSSREFS
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Cf. A096550 - A096561 for other pseudo-random number generators.
Sequence in context: A031863 A121107 A046516 this_sequence A096552 A105010 A162874
Adjacent sequences: A096548 A096549 A096550 this_sequence A096552 A096553 A096554
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KEYWORD
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nonn
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AUTHOR
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Hugo Pfoertner (hugo(AT)pfoertner.org), Jul 18 2004
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