OFFSET
0,3
LINKS
Harry J. Smith, Table of n, a(n) for n=0..1000
H. Brocard and T. Lemoyne, Courbes géométriques remarquables (courbes spéciales) Planes et Gauches, Tome I, Paris: Albert Blanchard, 1967 [First publ. 1919]; see p. 411.
J. Steiner, Aufgaben und Lehrsätze, Journal für die reine und angewandte Mathematik, Zeitschriftenband (1855), Vol. 49, p. 273.
Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).
FORMULA
a(n) = (n-1)*n*(n^2 + 3*n - 6)/2.
G.f.: 4*x^2*(1+4*x-2*x^2)/(1-x)^5. - Colin Barker, Mar 26 2012
E.g.f.: exp(x)*x^2*(4 + 8*x + x^2)/2. - Stefano Spezia, Jul 13 2024
MATHEMATICA
Table[(n-1)n (n^2+3n-6)/2, {n, 0, 40}] (* Harvey P. Dale, Apr 05 2020 *)
PROG
(PARI) { for (n=0, 1000, write("b060783.txt", n, " ", (n-1)*n*(n^2 + 3*n - 6)/2); ) } \\ Harry J. Smith, Jul 11 2009
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Antreas P. Hatzipolakis (xpolakis(AT)otenet.gr), Apr 28 2001
EXTENSIONS
More terms from Jason Earls, Apr 29 2001
STATUS
approved