OFFSET
0,1
COMMENTS
From John Couch Adams multisteps integration of differential equations, 1855.
REFERENCES
P. Curtz Integration numerique des systemes differentiels, C.C.S.A., Arcueil, 1969, p. 36.
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..10000
Index entries for linear recurrences with constant coefficients, signature (3,-3,1).
FORMULA
Recurrences: a(n) = 2*a(n-1) - a(n-2) - 12 = 3*a(n-1) - 3*a(n-2) + a(n-3).
First differences: a(n+1) - a(n) = -A017593(n-1), n > 0. Second differences are all -12.
a(n+2) - a(n) = -A008606(n).
G.f.: (-7 + 8*x + 11*x^2)/(x-1)^3. - R. J. Mathar, Mar 15 2009
PROG
(Magma) [7+12*n-6*n^2: n in [0..50]]; // Vincenzo Librandi, Aug 07 2011
(PARI) a(n)=7+12*n-6*n^2 \\ Charles R Greathouse IV, Jun 17 2017
CROSSREFS
KEYWORD
sign,easy
AUTHOR
Paul Curtz, Mar 02 2009
EXTENSIONS
Edited and extended by R. J. Mathar, Mar 15 2009
STATUS
approved