A060786 a(n) = 9*(n-2)*(5*n-13)*(5*n^2 - 19*n + 16)/2.

0, 36, 1260, 7452, 25092, 63360, 134136, 252000, 434232, 700812, 1074420, 1580436, 2246940, 3104712, 4187232, 5530680, 7173936, 9158580, 11528892, 14331852, 17617140, 21437136, 25846920, 30904272, 36669672, 43206300, 50580036, 58859460, 68115852, 78423192, 89858160

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. p. 341.

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

Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,2,-5,10,-10,5,-1).

Formula

G.f.: 36*x^3*(1 + 30*x + 42*x^2 + 2*x^3)/(1 - x)^5. - R. J. Mathar, Oct 02 2008

E.g.f.: 9*exp(x)*(416 - 400*x + 192*x^2 - 60*x^3 + 25*x^4)/2 - 72*(26 + x). - Stefano Spezia, Feb 24 2026

Mathematica

A060786[n_] := 9*(n - 2)*(5*n - 13)*(n*(5*n - 19) + 16)/2;
Array[A060786, 35, 2] (* Paolo Xausa, Jul 15 2026 *)

Prog

(PARI) a(n) = { 9*(n - 2)*(5*n - 13)*(5*n^2 - 19*n + 16)/2 } \\ Harry J. Smith, Jul 11 2009

Crossrefs

Sequence in context: A331234 A278806 A064196 * A270961 A162850 A163219

Adjacent sequences: A060783 A060784 A060785 * A060787 A060788 A060789

Keyword

nonn,easy,changed

Author

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

Status

approved