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A030127 Term at which n-Somos sequence first becomes nonintegral. 1
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; refs; listen; history; text; internal format)
OFFSET

8,1

COMMENTS

A101591 lists the positions of the odd terms. - Paul D. Hanna, Dec 08 2004

There does not seem to be a published proof that a(n) is defined for all n>=8. - Michael Somos, Jul 19 2014

LINKS

Table of n, a(n) for n=8..69.

Ralph H. Buchholz and Randall L. Rathbun, An infinite set of Heron triangles with two rational medians, The American Mathematical Monthly, Vol. 104, No. 2 (Feb., 1997), pp. 107-115.

David Gale, The strange and surprising saga of the Somos sequences, 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.

Eric Weisstein's World of Mathematics, Somos Sequence.

FORMULA

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

CROSSREFS

Cf. A101591.

Sequence in context: A156656 A130808 A194389 * A115849 A230634 A054484

Adjacent sequences:  A030124 A030125 A030126 * A030128 A030129 A030130

KEYWORD

nonn

AUTHOR

Eric W. Weisstein

EXTENSIONS

More terms from Paul D. Hanna, Dec 08 2004

STATUS

approved

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Last modified June 19 10:32 EDT 2019. Contains 324219 sequences. (Running on oeis4.)