OFFSET
0,2
REFERENCES
W. A. Whitworth, DCC Exercises in Choice and Chance, Stechert, NY, 1945, p. 29.
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..10000
Index entries for linear recurrences with constant coefficients, signature (4, -6, 4, -1).
FORMULA
a(n) = 4 * A006597(n).
a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4); a(0)=0, a(1)=4, a(2)=56, a(3)=216. - Harvey P. Dale, Aug 13 2012
From G. C. Greubel, Oct 18 2018: (Start)
G.f.: 4*(x + 10*x^2 + 4*x^3)/(1 - x)^4.
E.g.f.: 2*x*(2 + 12*x + 5*x^2)*exp(x). (End)
MATHEMATICA
Table[10n^3-6n^2, {n, 0, 50}] (* or *) LinearRecurrence[{4, -6, 4, -1}, {0, 4, 56, 216}, 50] (* Harvey P. Dale, Aug 13 2012 *)
PROG
(Magma) [10*n^3-6*n^2: n in [0..40]]; // Vincenzo Librandi, Jul 20 2011
(PARI) a(n)=10*n^3-6*n^2;
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
EXTENSIONS
Name corrected by Arkadiusz Wesolowski, Jul 20 2011
STATUS
approved