

A030127


Term at which nSomos 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
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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. 107115.
David Gale, The strange and surprising saga of the Somos sequences, Math. Intelligencer 13(1) (1991), pp. 4042.
J. L. Malouf, An integer sequence from a rational recursion, Discr. Math. 110 (1992), 257261.
R. M. Robinson, Periodicity of Somos sequences, Proc. Amer. Math. Soc., 116 (1992), 613619.
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



