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Search: id:A104683
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| A104683 |
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Interlaces "2*n^2 - 1 is a square" with NSW numbers. |
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+0 1
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| 1, 1, 5, 7, 29, 41, 169, 239, 985, 1393, 5741, 8119, 33461, 47321, 195025, 275807, 1136689, 1607521, 6625109, 9369319, 38613965, 54608393, 225058681, 318281039, 1311738121, 1855077841, 7645370045, 10812186007, 44560482149, 63018038201
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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See A100828 for a similar case.
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REFERENCES
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M. Newman, D. Shanks and H. C. Williams, Simple groups of square order and an interesting sequence of primes, Acta Arith. 38 (1980/81), no. 2, 129-140. MR82b:20022
A. H. Beiler, Recreations in the Theory of Numbers. New York: Dover, pp. 122-125, 1964.
T. W. Forget and T. A. Larkin, Pythagorean triads of the form X, X+1, Z described by recurrence sequences, Fib. Quart., 6 (No. 3, 1968), 94-104.
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LINKS
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The Prime Glossary, NSW number.
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FORMULA
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G.f. (1+x-x^2+x^3)/((x^2+2*x-1)*(x^2-2*x-1))
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PROGRAM
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Floretion Algebra Multiplication Program, FAMP Code: 1jesleftcycseq:['k + i' + j']
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CROSSREFS
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Cf. A001653, A002315, A100828.
Adjacent sequences: A104680 A104681 A104682 this_sequence A104684 A104685 A104686
Sequence in context: A126888 A087901 A018776 this_sequence A070153 A081630 A135324
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KEYWORD
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nonn
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AUTHOR
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Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), Apr 22 2005
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