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A060785
a(n) = 3*(n-2)*(5*n -11).
1
0, 12, 54, 126, 228, 360, 522, 714, 936, 1188, 1470, 1782, 2124, 2496, 2898, 3330, 3792, 4284, 4806, 5358, 5940, 6552, 7194, 7866, 8568, 9300, 10062, 10854, 11676, 12528, 13410, 14322, 15264, 16236, 17238, 18270, 19332, 20424, 21546
OFFSET
2,2
REFERENCES
L. Berzolari, Allgemeine Theorie der Höheren Ebenen Algebraischen Kurven, Encyclopädie der Mathematischen Wissenschaften mit Einschluss ihrer Anwendungen. Band III_2. Heft 3, Leipzig: B. G. Teubner, 1906. pp. 313 - 455.
H. Brocard and T. Lemoyne, Courbes géométriques remarquables (courbes spéciales) Planes et Gauches. Tome I, Paris: Albert Blanchard, 1967 [First publ. 1919]; see p. 135.
FORMULA
a(n) = 30*n + a(n-1) - 78 with n>2, a(2)=0. - Vincenzo Librandi, Aug 07 2010
G.f.: 6*x^3*(2+3*x)/(1-x)^3. - Colin Barker, Feb 28 2012
MATHEMATICA
Table[3(n-2)(5n-11), {n, 2, 50}] (* or *) LinearRecurrence[{3, -3, 1}, {0, 12, 54}, 50] (* Harvey P. Dale, May 24 2023 *)
PROG
(PARI) for (n=2, 1000, write("b060785.txt", n, " ", 3*(n - 2)*(5*n - 11)); ) \\ Harry J. Smith, Jul 11 2009
CROSSREFS
Sequence in context: A341558 A022704 A372025 * A059986 A088941 A019582
KEYWORD
nonn,easy
AUTHOR
Antreas P. Hatzipolakis (xpolakis(AT)otenet.gr), Apr 28 2001
STATUS
approved