Search: id:A024716
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%I A024716
%S A024716 1,3,8,23,75,278,1155,5295,26442,142417,820987,5034584,32679021,
%T A024716 223578343,1606536888,12086679035,94951548839,777028354998,6609770560055,
%U A024716 58333928795427,533203744952178,5039919483399501,49191925338483847
%N A024716 a(n) = sum of S(i,j), 1<=j<=i<=n, where S(i,j) are Stirling numbers of 
               the second kind.
%C A024716 Row sums of triangle A137649 - Gary W. Adamson (qntmpkt(AT)yahoo.com), 
               Feb 01 2008
%H A024716 T. D. Noe, <a href="b024716.txt">Table of n, a(n) for n=1..100</a>
%F A024716 If offset is 0, a(n) = Sum_{i=0..n} binomial(n+1, i+1)*Bell(i) [cf. A000110].
%F A024716 Partial sums of Bell numbers. - Vladeta Jovovic (vladeta(AT)eunet.rs), 
               Mar 16 2003
%p A024716 with (combinat):seq(sum(sum(stirling2(k, j),j=1..k), k=1..n), n=1..23); 
               - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 04 2007
%Y A024716 Equals A005001(n+1) - 1. First column of triangle A101908.
%Y A024716 Cf. A137649.
%Y A024716 Sequence in context: A148778 A099265 A099266 this_sequence A125782 A047143 
               A148779
%Y A024716 Adjacent sequences: A024713 A024714 A024715 this_sequence A024717 A024718 
               A024719
%K A024716 nonn,easy,nice
%O A024716 1,2
%A A024716 Clark Kimberling (ck6(AT)evansville.edu)

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