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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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4
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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.
t(a(n)) equals x*(x+1)*(x+2) for x = [0, 1, 4, 5, 9, 56, 636]_n. - Zak Seidov, Jun 21 2013
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LINKS
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MATHEMATICA
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(Sqrt[8#+1]-1)/2&/@Select[Table[n(n+1)(n+2), {n, 0, 23000}], OddQ[Sqrt[8#+1]]&] (* Harvey P. Dale, Jan 12 2023 *)
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CROSSREFS
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KEYWORD
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nonn,fini,full
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AUTHOR
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STATUS
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approved
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