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Search: id:A165892
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| A165892 |
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Triangular numbers of form n(n+2)(n+4). |
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+0
2
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| 0, 15, 105, 2145, 32640, 73920, 1906128, 2299440, 7692030528
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Values of (m^2-1)/8 corresponding to ordinates of integral points on the elliptic curve: m^2 = 8*n^3 + 48*n^2 + 64*n + 1.
Corresponding values of n are given in A165893.
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MATHEMATICA
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TNQ[m_]:=IntegerQ[Sqrt[1+8*m]]; Do[If[TNQ[m=n*(n+2)*(n+4)], Print[m]], {n, 2*10^3}]
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CROSSREFS
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Cf. A001219 Triangular numbers of form a(a+1)(a+2).
Sequence in context: A055848 A058085 A060218 this_sequence A077261 A012507 A143727
Adjacent sequences: A165889 A165890 A165891 this_sequence A165893 A165894 A165895
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KEYWORD
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nonn,fini,full
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AUTHOR
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Zak Seidov (zakseidov(AT)yahoo.com), Sep 29 2009
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EXTENSIONS
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fini, full keywords from Max Alekseyev (maxale(AT)gmail.com), Oct 01 2009
Initial 0 added by Zak Seidov (zakseidov(AT)yahoo.com), Oct 04 2009 at the suggestion of Alexander R. Povolotsky.
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