OFFSET
2,1
COMMENTS
Row sums in an n X n X n pandiagonal magic cube with entries (0..n^3-1).
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 2..1000
S. Gartenhaus, Odd order pandiagonal latin and magic cubes in three and four dimensions, arXiv:math/0210275 [math.CO], 2002.
Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).
FORMULA
a(n) = A027478(n,n-1)
a(n) = A058895(n)/2. - Zerinvary Lajos, Jan 28 2008
G.f.: x^2*(7 + 4*x + x^2)/(1 - x)^5. - Vincenzo Librandi, Dec 29 2012
a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5) for n > 6. - Chai Wah Wu, Apr 08 2021
MATHEMATICA
Table[(m^4 - m)/2, {m, 44}] (* Zerinvary Lajos, Mar 21 2007 *)
CoefficientList[Series[(7 + 4*x + x^2)/(1 - x)^5, {x, 0, 40}], x] (* Vincenzo Librandi, Dec 29 2012 *)
PROG
(PARI) t(n)=n*(n+1)/2;
for(n=0, 50, print1(t(n^2)-t(n)", "))
(Magma) [n * (n^3 - 1)/2: n in [2..50]]; // Vincenzo Librandi, Dec 29 2012
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved