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Search: id:A112485
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%I A112485
%S A112485 1,114,5610,195800,5765500,155357384,4002695088,101180433024,
%T A112485 2549865473424,64728375139872,1666424486271456,43708768764064128,
%U A112485 1171582385481357696,32157753536587053312,905080567903692754176
%N A112485 Fifth diagonal of second-order Eulerian triangle A008517. Fifth column 
               (m=4) of triangle A112007.
%F A112485 a(n)=A112007(n+4, 4), n>=0.
%F A112485 a(n)= (n+9)*a(n-1) + (n+1)*A112008(n), n>=1, a(0)=1.
%F A112485 Contribution from Johannes W. Meijer (meijgia(AT)hotmail.com), Oct 16 
               2009: (Start)
%F A112485 a(n) = sum((-1)^(n+k+1)*binomial(2*n+11,k)*stirling1(n-k+10,5-k),k=0..4)
%F A112485 (End)
%e A112485 5610= a(2) = 11*114 + 3*1452.
%Y A112485 Cf. A112008 (fourth diagonal of A008517 and fourth column of A112007).
%Y A112485 Contribution from Johannes W. Meijer (meijgia(AT)hotmail.com), Oct 16 
               2009: (Start)
%Y A112485 Equals fifth left hand column of A163936.
%Y A112485 (End)
%Y A112485 Sequence in context: A002952 A108344 A162675 this_sequence A084877 A060309 
               A101111
%Y A112485 Adjacent sequences: A112482 A112483 A112484 this_sequence A112486 A112487 
               A112488
%K A112485 nonn,easy
%O A112485 0,2
%A A112485 Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), 
               Sep 12 2005

    
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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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