OFFSET
0,1
COMMENTS
These are the numerators in column j=4 of the array in A140825 (reference p. 36).
REFERENCES
P. Curtz, Integration numerique des systemes differentiels a conditions initiales, Centre de Calcul Scientifique de l'Armement, Note 12, Arcueil (1969).
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..10000
Index entries for linear recurrences with constant coefficients, signature (5, -10, 10, -5, 1).
FORMULA
a(n)= 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5).
G.f.: (-19 + 106*x - 264*x^2 + 646*x^3 + 251*x^4)/(1-x)^5.
a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) + 720. Fourth differences are constant, 720.
MATHEMATICA
Table[30n^4-120n^3+120n^2-19, {n, 0, 40}] (* or *) LinearRecurrence[{5, -10, 10, -5, 1}, {-19, 11, -19, 251, 1901}, 40] (* Harvey P. Dale, Mar 08 2015 *)
PROG
(Magma) [30*n^4 - 120*n^3 + 120*n^2 - 19: n in [0..50]]; // Vincenzo Librandi, Aug 07 2011
(PARI) a(n)=30*n^4-120*n^3+120*n^2-19 \\ Charles R Greathouse IV, Oct 16 2015
CROSSREFS
KEYWORD
sign,easy
AUTHOR
Paul Curtz, Feb 28 2009
EXTENSIONS
Edited, one index corrected and extended by R. J. Mathar, Sep 17 2009
STATUS
approved