|
|
A259435
|
|
a(n) = 2*(n-1)^6*(n+1)^2*(n^2+10*n+1).
|
|
2
|
|
|
2, 0, 450, 81920, 2077650, 22413312, 148531250, 716636160, 2763575010, 9017753600, 25850353122, 66816000000, 158678718770, 351151718400, 731985584850, 1449526034432, 2745436781250, 5000952545280, 8800799033090, 15019798118400, 24938174692242, 40392704000000
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,1
|
|
COMMENTS
|
This appears as the function alpha(n) in Delest, related to bar/bat theory; see section 3.
|
|
LINKS
|
Index entries for linear recurrences with constant coefficients, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).
|
|
FORMULA
|
G.f.: 2*(1 -11*x + 280*x^2 + 38320*x^3 + 600970*x^4 + 1994794*x^5 + 1444096*x^6 - 231320*x^7 - 207395*x^8 - 10935*x^9)/(1-x)^11.
a(n) = 11*a(n-1) - 55*a(n-2) + 165*a(n-3) - 330*a(n-4) + 462*a(n-5) - 462*a(n-6) + 330*a(n-7) - 165*a(n-8) + 55*a(n-9) - 11*a(n-10) + a(n-11).
|
|
MAPLE
|
|
|
MATHEMATICA
|
Table[2 (n - 1)^6 (n + 1)^2 (n^2 + 10 n + 1), {n, 0, 30}]
|
|
PROG
|
(Magma) [2*(n-1)^6*(n+1)^2*(n^2+10*n+1): n in [0..30]];
(Sage) [2*(n-1)^6*(n+1)^2*(n^2+10*n+1) for n in (0..30)] # Bruno Berselli, Jun 30 2015
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|