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A112485
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Fifth diagonal of second-order Eulerian triangle A008517. Fifth column (m=4) of triangle A112007.
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4
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1, 114, 5610, 195800, 5765500, 155357384, 4002695088, 101180433024, 2549865473424, 64728375139872, 1666424486271456, 43708768764064128, 1171582385481357696, 32157753536587053312, 905080567903692754176
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n)= (n+9)*a(n-1) + (n+1)*A112008(n), n>=1, a(0)=1.
a(n) = sum((-1)^(n+k+1)*binomial(2*n+11,k)*stirling1(n-k+10,5-k),k=0..4)
(End)
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EXAMPLE
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5610= a(2) = 11*114 + 3*1452.
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CROSSREFS
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Equals fifth left hand column of A163936.
(End)
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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