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A210431 Number of semistandard Young tableaux over all partitions of 9 with maximal element <= n. 2
0, 1, 30, 434, 3740, 22220, 100562, 370909, 1168008, 3245311, 8148590, 18821968, 40542228, 82300842, 158779362, 293092635, 520505744, 893364637, 1487517086, 2410539918, 3812130380, 5897064040, 8941168786, 13310814265, 19486468504, 28090928475, 39922889006 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Bruno Berselli, Table of n, a(n) for n = 0..1000

Wikipedia, Young tableau

Index entries for linear recurrences with constant coefficients, signature (10,-45,120,-210,252,-210,120,-45,10,-1).

FORMULA

a(n) = n*(10080+(40484+(31395+(8106+655*n^2)*n^2)*n^2)*n^2)/90720.

G.f.: x*(x^8+20*x^7+179*x^6+630*x^5+960*x^4+630*x^3+179*x^2+20*x+1) / (x-1)^10.

MAPLE

a:= n-> n*(10080+(40484+(31395+(8106+655*n^2)*n^2)*n^2)*n^2)/90720:

seq(a(n), n=0..40);

CROSSREFS

Row n=9 of A210391.

Sequence in context: A290363 A161740 A161623 * A296919 A010946 A022625

Adjacent sequences:  A210428 A210429 A210430 * A210432 A210433 A210434

KEYWORD

nonn,easy

AUTHOR

Alois P. Heinz, Mar 21 2012

STATUS

approved

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Last modified September 19 06:16 EDT 2020. Contains 337177 sequences. (Running on oeis4.)