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A090749
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12C(2n+1,n-5)/(n+7).
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0
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1, 12, 90, 544, 2907, 14364, 67298, 303600, 1332045, 5722860, 24192090, 100975680, 417225900, 1709984304, 6962078952, 28192122176, 456442190920, 1827459250276, 7297426411968, 29075683360185
(list; graph; refs; listen; history; internal format)
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OFFSET
| 5,2
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COMMENTS
| Also a diagonal of A059365 and A009766 . See also A000108, A002057, A003517, A003518, A003519.
Number of standard tableaux of shape (n+6,n-5). - Emeric Deutsch (deutsch(AT)duke.poly.edu), May 30 2004
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FORMULA
| a(n) = A039598(n, 5) = A033184(n+7, 12) . G.f.: x^5*C(x)^12 with C(x) g.f. of A000108(Catalan).
Let A be the Toeplitz matrix of order n defined by: A[i,i-1]=-1, A[i,j]=Catalan(j-i), (i<=j), and A[i,j]=0, otherwise. Then, for n>=11, a(n-6)=(-1)^(n-11)*coeff(charpoly(A,x),x^11). [From Milan R. Janjic (agnus(AT)blic.net), Jul 08 2010]
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CROSSREFS
| Sequence in context: A073382 A036216 A022640 * A130592 A002544 A093801
Adjacent sequences: A090746 A090747 A090748 * A090750 A090751 A090752
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KEYWORD
| easy,nonn
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AUTHOR
| DELEHAM Philippe (kolotoko(AT)wanadoo.fr), Feb 15 2004
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