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Search: id:A112485
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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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+0
3
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| 1, 114, 5610, 195800, 5765500, 155357384, 4002695088, 101180433024, 2549865473424, 64728375139872, 1666424486271456, 43708768764064128, 1171582385481357696, 32157753536587053312, 905080567903692754176
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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a(n)=A112007(n+4, 4), n>=0.
a(n)= (n+9)*a(n-1) + (n+1)*A112008(n), n>=1, a(0)=1.
Contribution from Johannes W. Meijer (meijgia(AT)hotmail.com), Oct 16 2009: (Start)
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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Cf. A112008 (fourth diagonal of A008517 and fourth column of A112007).
Contribution from Johannes W. Meijer (meijgia(AT)hotmail.com), Oct 16 2009: (Start)
Equals fifth left hand column of A163936.
(End)
Sequence in context: A002952 A108344 A162675 this_sequence A084877 A060309 A101111
Adjacent sequences: A112482 A112483 A112484 this_sequence A112486 A112487 A112488
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KEYWORD
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nonn,easy
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Sep 12 2005
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