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A104683 Interlaces "2*n^2 - 1 is a square" with NSW numbers. +0
1
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)
OFFSET

0,3

COMMENT

See A100828 for a similar case.

REFERENCES

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.

LINKS

The Prime Glossary, NSW number.

FORMULA

G.f. (1+x-x^2+x^3)/((x^2+2*x-1)*(x^2-2*x-1))

PROGRAM

Floretion Algebra Multiplication Program, FAMP Code: 1jesleftcycseq:['k + i' + j']

CROSSREFS

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

KEYWORD

nonn

AUTHOR

Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), Apr 22 2005

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Last modified October 16 00:31 EDT 2008. Contains 145098 sequences.


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