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Number of semistandard Young tableaux over all partitions of 8 with maximal element <= n.
(history; published version)
#17 by Alois P. Heinz at Thu Feb 09 16:11:17 EST 2017
STATUS

editing

approved

#16 by Alois P. Heinz at Thu Feb 09 16:11:11 EST 2017
LINKS

Wikipedia, <a href="httphttps://en.wikipedia.org/wiki/Young_tableau">Young tableau</a>

STATUS

approved

editing

#15 by Alois P. Heinz at Fri Nov 06 16:21:16 EST 2015
STATUS

editing

approved

#14 by Alois P. Heinz at Fri Nov 06 16:21:10 EST 2015
NAME

a(n) = n^2*(n^2+3)*(1124+(1205+191*n^2)*n^2)/10080.

Number of semistandard Young tableaux over all partitions of 8 with maximal element <= n.

COMMENTS

a(n) is the number of semistandard Young tableaux over all partitions of 8 with maximal element <= n.

LINKS

Wikipedia, <a href="http://en.wikipedia.org/wiki/Young_tableau">Young tableau</a>

FORMULA

a(n) = n^2*(n^2+3)*(1124+(1205+191*n^2)*n^2)/10080.

STATUS

approved

editing

#13 by Charles R Greathouse IV at Sat Jun 13 00:54:12 EDT 2015
LINKS

<a href="/index/Rec#order_09">Index to sequences with entries for linear recurrences with constant coefficients</a>, signature (9,-36,84,-126,126,-84,36,-9,1).

Discussion
Sat Jun 13
00:54
OEIS Server: https://oeis.org/edit/global/2439
#12 by Alois P. Heinz at Fri Mar 27 20:11:33 EDT 2015
STATUS

editing

approved

#11 by Alois P. Heinz at Fri Mar 27 20:11:13 EDT 2015
LINKS

<a href="/index/ReaRec#recLCCorder_09">Index to sequences with linear recurrences with constant coefficients</a>, signature (9,-36,84,-126,126,-84,36,-9,1).

MAPLE

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

STATUS

approved

editing

#10 by Russ Cox at Fri Mar 30 17:37:37 EDT 2012
AUTHOR

_Alois P. Heinz (heinz(AT)hs-heilbronn.de), _, Mar 21 2012

Discussion
Fri Mar 30
17:37
OEIS Server: https://oeis.org/edit/global/179
#9 by Alois P. Heinz at Thu Mar 22 14:12:04 EDT 2012
STATUS

editing

approved

#8 by Alois P. Heinz at Thu Mar 22 14:11:59 EDT 2012
COMMENTS

a(n) is the number of semistandard Young tableaux over all partitions of 8 with maximal element <= n.

STATUS

approved

editing