A060788 a(n) = 9*(n-2)^2 * (n^2 - 2*n - 1).

0, 18, 252, 1134, 3312, 7650, 15228, 27342, 45504, 71442, 107100, 154638, 216432, 295074, 393372, 514350, 661248, 837522, 1046844, 1293102, 1580400, 1913058, 2295612, 2732814, 3229632, 3791250, 4423068, 5130702, 5919984

Offset

2,2

References

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.

Links

Harry J. Smith, Table of n, a(n) for n = 2..1000

Formula

From R. J. Mathar, Jul 15 2009: (Start)

G.f.: 18*x^3*(-1-9*x-3*x^2+x^3)/(x-1)^5.

a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5). (End)

Prog

(PARI) a(n)={9*(n - 2)^2 * (n^2 - 2*n - 1)} \\ Harry J. Smith, Jul 11 2009

Crossrefs

Sequence in context: A154250 A154350 A001722 * A144708 A020528 A088924

Adjacent sequences: A060785 A060786 A060787 * A060789 A060790 A060791

Keyword

nonn

Author

Antreas P. Hatzipolakis (xpolakis(AT)otenet.gr), Apr 28 2001

Extensions

Extra left parenthesis removed from definition by Harry J. Smith, Jul 11 2009

Status

approved