OFFSET
2,2
LINKS
Heinrich Ludwig, Table of n, a(n) for n = 2..1000
M. J. Hay, J. Schiff, N. J. Fisch, Maximal energy extraction under discrete diffusive exchange, arXiv preprint arXiv:1508.03499, 2015
Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1)
FORMULA
a(n) = n*(n-1)*(n-2)*(n+5)/8.
G.f.: 3*x^3*(x-2) / (x-1)^5. - Colin Barker, Mar 22 2014
a(n) = Sum_{i=0..n} (i+5)*A000217(i). - Bruno Berselli, Apr 29 2014
a(n) = t(t(n,k),n) + n, where t(n,k) = n*(n+1)/2 + k*n and t(n,1) = A000096(n). - Bruno Berselli, Feb 28 2017
PROG
(PARI) concat(0, Vec(3*x^3*(x-2)/(x-1)^5 + O(x^100))) \\ Colin Barker, Mar 22 2014
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Heinrich Ludwig, Mar 22 2014
STATUS
approved