OFFSET
2,1
COMMENTS
These integers are sometimes called balanced numbers.
REFERENCES
Cambridge Colleges Sixth Term Examination Papers (STEP) 2007, Paper I, Section A (Pure Mathematics), Nr. 1.
LINKS
Index entries for linear recurrences with constant coefficients, signature (8,-28,56,-70,56,-28,8,-1).
FORMULA
a(n) = n*(n-1)*(1208*n^5+151*n^4+291*n^3+116*n^2+88*n+60)/2520.
G.f.: x^2*(x^5+83*x^4+673*x^3+1154*x^2+470*x+35)/(x-1)^8. - Alois P. Heinz, Mar 24 2022
MATHEMATICA
Table[n(n-1)(1208n^5+151n^4+291n^3+116n^2+88n+60)/2520, {n, 2, 40}] (* Harvey P. Dale, Mar 18 2022 *)
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Martin Renner, Aug 03 2014
STATUS
approved