This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A152074 #18 Jul 21 2016 05:16:10
%S A152074 1,3,6,11,18,30,46,73,111,170,254,392,574,868,1294,1933,2834,4267,
%T A152074 6228,9312,13674,20162,29528,44132,63945,94390,138562,203706,296436,
%U A152074 438976,635776,936263,1367034,1997200,2907862,4290047,6192784,9070744,13248374
%N A152074 Rows sums of triangle A152072.
%C A152074 From _David W. Wilson_, Jul 07 2016: (Start)
%C A152074 Empirically, it appears that
%C A152074 lim n->inf a(n+3)/a(n) = 3.
%C A152074 lim n->inf a(3n+1)/a(3n) = 312/217.
%C A152074 lim n->inf a(3n+2)/a(3n+1) = 75/52.
%C A152074 lim n->inf a(3n+3)/a(3n+2) = 217/150. (End)
%D A152074 David W. Wilson, Posting to Sequence Fans mailing List, Mar 11 2009
%H A152074 David W. Wilson and Vaclav Kotesovec, <a href="/A152074/b152074.txt">Table of n, a(n) for n = 1..2000</a> (first 1000 terms from David W. Wilson)
%p A152074 A152072 := proc(n,k) mul(floor((n+i)/k),i=0..k-1) ; end: A152074 := proc(n) add( A152072(n,k),k=1..n) ; end: seq(A152074(n),n=1..80) ; # _R. J. Mathar_, Sep 18 2009
%t A152074 Table[Total@ Map[Product[Floor[(n + i)/#], {i, 0, # - 1}] &, Range@ n], {n, 40}] (* _Michael De Vlieger_, Jul 09 2016, after _Robert G. Wilson v_ at A152072 *)
%K A152074 nonn,easy
%O A152074 1,2
%A A152074 _N. J. A. Sloane_, Sep 16 2009
%E A152074 More terms from _R. J. Mathar_, Sep 18 2009