OFFSET
0,1
LINKS
J. C. Lagarias and N. J. A. Sloane, Approximate squaring (pdf, ps), Experimental Math., 13 (2004), 113-128.
Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).
FORMULA
G.f.: (60 + 1793*x + 3533*x^2 + 755*x^3 + 3*x^4)/(1-x)^5.
a(0)=3, a(1)=60, a(2)=2093, a(3)=13398, a(4)=47415, a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5). - Harvey P. Dale, Mar 20 2015
E.g.f.: exp(x)*(3 + 57*x + 988*x^2 + 1216*x^3 + 256*x^4). - Stefano Spezia, Jun 26 2024
MATHEMATICA
Table[(8n-3)(4n-1)(8n^2-5n+1), {n, 0, 30}] (* or *) LinearRecurrence[{5, -10, 10, -5, 1}, {3, 60, 2093, 13398, 47415}, 30] (* Harvey P. Dale, Mar 20 2015 *)
PROG
(PARI) a(n)=(8*n-3)*(4*n-1)*(8*n^2-5*n+1) \\ Charles R Greathouse IV, Oct 21 2022
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Apr 13 2003
STATUS
approved