Search: id:A131923
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%I A131923
%S A131923 1,2,2,3,4,3,4,6,6,4,5,8,10,8,5,6,10,15,15,10,6,7,12,21,26,21,12,7,8,14,
%T A131923 28,42,42,28,14,8,9,16,36,64,78,64,36,9,10,18,45,93,135,135,93,45,18,10
%N A131923 A002024 + A007318 - A000012.
%C A131923 Row sums = A131924: (1, 4, 10, 20, 36, 62, 106, 184,...).
%F A131923 A002024 - A007318 - A000012 as infinite lower triangular matrices. A002024 
               = (1; 2,2; 3,3,3;...); A007318 = Pascal's triangle and A000012 = 
               (1; 1,1; 1,1,1;...).
%F A131923 t(n,m)=binomial[n, m] + n. - Roger L. Bagula (rlbagulatftn(AT)yahoo.com), 
               Jul 30 2008
%e A131923 First few rows of the triangle are:
%e A131923 1;
%e A131923 2, 2;
%e A131923 3, 4, 3;
%e A131923 4, 6, 6, 4;
%e A131923 5, 8, 10, 8, 5;
%e A131923 6, 10, 15, 15, 10, 6;
%e A131923 7, 12, 21, 26, 21, 12, 7;
%e A131923 8, 14, 28, 42, 42, 28, 14, 8;
%e A131923 9, 16, 36, 64, 78, 64, 36, 16, 9;
%e A131923 10, 18, 45, 93, 135, 135, 93, 45, 18, 10;
%e A131923 ...
%t A131923 T[n_, m_] = Binomial[n, m] + n; Table[Table[T[n, m], {m, 0, n}], {n, 
               0, 10}]; Flatten[%] - Roger L. Bagula (rlbagulatftn(AT)yahoo.com), 
               Jul 30 2008
%Y A131923 Cf. A002024, A007318, A000012, A131924.
%Y A131923 Cf. A003991.
%Y A131923 Sequence in context: A032355 A091257 A003991 this_sequence A119457 A065157 
               A051597
%Y A131923 Adjacent sequences: A131920 A131921 A131922 this_sequence A131924 A131925 
               A131926
%K A131923 nonn,tabl
%O A131923 0,2
%A A131923 Gary W. Adamson (qntmpkt(AT)yahoo.com), Jul 29 2007

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