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 A097571 Numbers n such that triangular number t(n) (see A000217) = n(n+1)/2 is a product of three consecutive integers. 4
 0, 3, 15, 20, 44, 608, 22736 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS 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. t(a(n)) equals x*(x+1)*(x+2) for x = [0, 1, 4, 5, 9, 56, 636]_n. - Zak Seidov, Jun 21 2013 LINKS S. P. Mohanty, Which triangular numbers are products of three consecutive integers?, Acta Mathematica Hungarica 1991, Volume 58, Issue 1-2, pp 31-36. CROSSREFS Cf. A000217, A001219, A001652. Sequence in context: A111517 A083545 A224872 * A048087 A316751 A001897 Adjacent sequences:  A097568 A097569 A097570 * A097572 A097573 A097574 KEYWORD nonn,fini,full AUTHOR N. J. A. Sloane, Aug 29 2004 STATUS approved

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Last modified January 16 06:59 EST 2019. Contains 319188 sequences. (Running on oeis4.)