|
|
A210432
|
|
Number of semistandard Young tableaux over all partitions of 10 with maximal element <= n.
|
|
2
|
|
|
0, 1, 36, 630, 6512, 45628, 239316, 1007083, 3570240, 11042199, 30569012, 77221232, 180646896, 395884866, 820217412, 1618520277, 3060257024, 5572071725, 9810869508, 16763347626, 27879160048, 45246275592, 71818632820, 111707913791, 170553162816, 255984075075
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,3
|
|
LINKS
|
Index entries for linear recurrences with constant coefficients, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).
|
|
FORMULA
|
a(n) = n^2*(126432+(206020+(101031+(18930+1187*n^2)*n^2)*n^2)*n^2)/453600.
G.f.: -x*(x+1)*(x^8 +24*x^7 +265*x^6 +1132*x^5 +1904*x^4 +1132*x^3 +265*x^2 +24*x+1) / (x-1)^11.
|
|
MAPLE
|
a:= n-> n^2* (126432+ (206020+ (101031+ (18930+ 1187*n^2) *n^2) *n^2) *n^2)/ 453600:
seq(a(n), n=0..40);
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|