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#19 by Alois P. Heinz at Wed Feb 08 19:21:05 EST 2017
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#18 by Alois P. Heinz at Wed Feb 08 19:21:02 EST 2017
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Wikipedia, <a href="httphttps://en.wikipedia.org/wiki/Young_tableau">Young tableau</a>
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| STATUS
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approved
editing
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#17 by Alois P. Heinz at Fri Nov 06 16:07:20 EST 2015
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#16 by Alois P. Heinz at Fri Nov 06 16:06:53 EST 2015
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a(n) = n^2*(126432+(206020+(101031+(18930+1187*n^2)*n^2)*n^2)*n^2)/453600.
Number of semistandard Young tableaux over all partitions of 10 with maximal element <= n.
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| COMMENTS
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a(n) is the number of semistandard Young tableaux over all partitions of 10 with maximal element <= n.
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Wikipedia, <a href="http://en.wikipedia.org/wiki/Young_tableau">Young tableau</a>
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| FORMULA
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a(n) = n^2*(126432+(206020+(101031+(18930+1187*n^2)*n^2)*n^2)*n^2)/453600.
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approved
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#15 by Charles R Greathouse IV at Sat Jun 13 00:54:12 EDT 2015
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<a href="/index/Rec#order_11">Index to sequencesentries withfor linear recurrences with constant coefficients</a>, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).
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Discussion
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| Sat Jun 13
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| OEIS Server: https://oeis.org/edit/global/2439
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#14 by Alois P. Heinz at Fri Mar 27 20:13:23 EDT 2015
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#13 by Alois P. Heinz at Fri Mar 27 20:13:20 EDT 2015
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<a href="/index/ReaRec#recLCCorder_11">Index to sequences with linear recurrences with constant coefficients</a>, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).
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| MAPLE
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seq ((a(n), n=0..40);
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approved
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#12 by Alois P. Heinz at Mon May 07 19:45:05 EDT 2012
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#11 by Alois P. Heinz at Mon May 07 19:45:00 EDT 2012
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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.
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a:= n-> n^2*(* (126432+(+ (206020+(+ (101031+(+ (18930++ 1187*n^2)*) *n^2)*) *n^2)*) *n^2)/)/ 453600:
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approved
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#10 by Russ Cox at Fri Mar 30 17:37:37 EDT 2012
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| AUTHOR
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_Alois P. Heinz (heinz(AT)hs-heilbronn.de), _, Mar 21 2012
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Discussion
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| Fri Mar 30
| 17:37
| OEIS Server: https://oeis.org/edit/global/179
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