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A060787
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18*(n-2)*(2*n-5).
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2
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0, 18, 108, 270, 504, 810, 1188, 1638, 2160, 2754, 3420, 4158, 4968, 5850, 6804, 7830, 8928, 10098, 11340, 12654, 14040, 15498, 17028, 18630, 20304, 22050, 23868, 25758, 27720, 29754, 31860, 34038, 36288, 38610, 41004, 43470, 46008
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history;
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OFFSET
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2,2
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COMMENTS
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Except for first term Engel expansion of cosh(1/3); cf. A006784 for Engel expansion definition - Benoit Cloitre, Mar 03 2002
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REFERENCES
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L. Berzolari, Allgemeine Theorie der Ho"heren Ebenen Algebraischen Kurven, Encyclopa"die der Mathematischen Wissenschaften mit Einschluss ihrer Anwendungen. Band III_2. Heft 3, Leipzig: B.G. Teubner, 1906. p. 341.
H. Brocard and T. Lemoyne: Courbes geometriques remarquables (courbes speciales) Planes et Gauches. Tome I, Paris: Albert Blanchard, 1967 [First publ. 1919]; see p. 135.
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LINKS
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Harry J. Smith, Table of n, a(n) for n = 2..1000
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FORMULA
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G.f.: 18*x^3*(1+3*x)/(1-x)^3. [Colin Barker, Feb 29 2012]
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PROG
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(PARI) { for (n=2, 1000, write("b060787.txt", n, " ", 18*(n - 2)*(2*n - 5)); ) } [From Harry J. Smith, Jul 11 2009]
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CROSSREFS
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Sequence in context: A225219 A002165 A008654 * A019584 A213562 A041622
Adjacent sequences: A060784 A060785 A060786 * A060788 A060789 A060790
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KEYWORD
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nonn,easy
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AUTHOR
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Antreas P. Hatzipolakis (xpolakis(AT)otenet.gr), Apr 28 2001
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STATUS
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approved
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