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A165892 Triangular numbers of form n(n+2)(n+4). 1
0, 15, 105, 2145, 32640, 73920, 1906128, 2299440, 7692030528 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

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.

MATHEMATICA

TNQ[m_]:=IntegerQ[Sqrt[1+8*m]]; Do[If[TNQ[m=n*(n+2)*(n+4)], Print[m]], {n, 2*10^3}]

CROSSREFS

Cf. A001219 Triangular numbers of form a(a+1)(a+2).

Sequence in context: A200852 A058085 A060218 * A077261 A012507 A143727

Adjacent sequences:  A165889 A165890 A165891 * A165893 A165894 A165895

KEYWORD

nonn,fini,full

AUTHOR

Zak Seidov (zakseidov(AT)yahoo.com), Sep 29 2009

EXTENSIONS

"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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Last modified February 15 03:33 EST 2012. Contains 205694 sequences.