OFFSET
0,3
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..10000
Index entries for linear recurrences with constant coefficients, signature (7,-21,35,-35,21,-7,1).
FORMULA
a(n) = Sum_{i=1..n} Sum_{j=1..n} Sum_{k=1..n} Sum_{l=1..n} Sum_{m=1..n} (i+j+k-l-m). - Wesley Ivan Hurt, Aug 13 2015
From G. C. Greubel, Mar 20 2025: (Start)
G.f.: x*(1 + 41*x + 171*x^2 + 131*x^3 + 16*x^4)/(1-x)^7.
E.g.f.: (1/2)*x*(2 + 46*x + 115*x^2 + 75*x^3 + 16*x^4 + x^5)*exp(x). (End)
MATHEMATICA
Table[n^5*(n + 1)/2, {n, 0, 40}] (* Wesley Ivan Hurt, Aug 13 2015 *)
PROG
(Magma) [n^5*(n+1)/2: n in [0..30]]; // Vincenzo Librandi, Aug 28 2011
(SageMath)
def A168351(n): return n^4*binomial(n+1, 2)
print([A168351(n) for n in range(41)]) # G. C. Greubel, Mar 20 2025
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Dec 11 2009
STATUS
approved