OFFSET
0,2
REFERENCES
Fredrick T. Wall, Chemical Thermodynamics, W. H, Freeman, San Francisco, 1965, page 269
LINKS
Harvey P. Dale, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (5, -10, 10, -5, 1).
FORMULA
a(n)-a(n-1) = (4*n + 1)*(4*n^2 + 2*n - 1).
G.f.: (-1+29*x+65*x^2+3*x^3)/(1-x)^5. [Colin Barker, Jan 28 2012]
a(0)=-1, a(1)=24, a(2)=195, a(3)=728, a(4)=1935, a(n)=5*a(n-1)- 10*a(n-2)+ 10*a(n-3)-5*a(n-4)+a(n-5). - Harvey P. Dale, May 29 2014
MATHEMATICA
f[m_] = Sum[(4*n + 1)*(4*n^2 + 2*n - 1), {n, 0, m}]; a = Table[f[n], {n, 0, 50}]
Table[(2n+1)(n+1)(2n^2+3n-1), {n, 0, 40}] (* or *) LinearRecurrence[ {5, -10, 10, -5, 1}, {-1, 24, 195, 728, 1935}, 40] (* Harvey P. Dale, May 29 2014 *)
CROSSREFS
KEYWORD
sign,easy
AUTHOR
Roger L. Bagula, Oct 04 2006
EXTENSIONS
Definition made precise by the Assoc. Eds. of the OEIS, Mar 27 2010
STATUS
approved