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A030127 Term at which n-Somos sequence first becomes nonintegral. +0
2
17, 19, 20, 22, 24, 27, 28, 30, 33, 34, 36, 39, 41, 42, 44, 46, 48, 51, 52, 55, 56, 58, 60, 62, 65, 66, 68, 70, 72, 75, 76, 78, 81, 82, 84, 86, 88, 90, 92, 94, 96, 98, 100, 102, 104, 107, 108, 110, 112, 114, 116, 118, 120, 123, 124, 126, 129, 130, 132, 134, 136, 138 (list; graph; listen)
OFFSET

8,1

COMMENT

A101591 lists the positions of the odd terms. - Paul D. Hanna (pauldhanna(AT)juno.com), Dec 08 2004

REFERENCES

R. H. Buchholz and R. L. Rathbun, "An infinite set of Heron triangles with two rational medians", Amer. Math. Monthly, 104 (1997), 107-115.

David Gale, "The strange and surprising saga of the Somos sequence", Math. Intelligencer 13(1) (1991), pp. 40-42.

J. L. Malouf, "An integer sequence from a rational recursion", Discr. Math. 110 (1992), 257-261.

R. M. Robinson, "Periodicity of Somos sequences", Proc. Amer. Math. Soc., 116 (1992), 613-619.

LINKS

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

FORMULA

For even terms, a(n) = 2*n, else a(n) = 2*n+1 when n is in A101591. - Paul D. Hanna (pauldhanna(AT)juno.com), Dec 08 2004

CROSSREFS

Cf. A101591.

Sequence in context: A042399 A156656 A130808 this_sequence A115849 A054484 A139049

Adjacent sequences: A030124 A030125 A030126 this_sequence A030128 A030129 A030130

KEYWORD

nonn

AUTHOR

Eric Weisstein (eric(AT)weisstein.com)

EXTENSIONS

More terms from Paul D. Hanna (pauldhanna(AT)juno.com), Dec 08 2004

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Last modified December 1 19:22 EST 2009. Contains 167811 sequences.


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