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A097571
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Numbers n such that triangular number t(n) (see A000217) = n(n+1)/2 is a product of three consecutive integers.
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1
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OFFSET
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1,2
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COMMENTS
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Replacing "three" by "two" we get A001652.
Replacing "three" by "N" we get: {15} for N = 4 and 5, {2079} for N = 6 and no solutions for N >= 7. - J. B. M. Melissen.
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REFERENCES
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S. P. Mohanty, Which triangular numbers are products of three consecutive integers, Acta Math. Hungar., 58 (1991), 31-36.
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LINKS
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Table of n, a(n) for n=1..7.
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CROSSREFS
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Cf. A000217, A001652.
Sequence in context: A124877 A111517 A083545 * A048087 A001897 A074214
Adjacent sequences: A097568 A097569 A097570 * A097572 A097573 A097574
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KEYWORD
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nonn,fini,full
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AUTHOR
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N. J. A. Sloane, Aug 29 2004
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STATUS
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approved
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