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A130127 Triangle defined by A000012 * A130125, read by rows.

%I A130127 #12 Feb 20 2022 14:43:46
%S A130127 1,1,2,2,2,4,2,4,4,8,3,4,8,8,16,3,6,8,16,16,32,4,6,12,16,32,32,64,4,8,
%T A130127 12,24,32,64,64,128,5,8,16,24,48,64,128,128,256,5,10,16,32,48,96,128,
%U A130127 256,256,512,6,10,20,32,64,96,192,256,512,512,1024,6,12,20,40,64,128,192,384,512,1024,1024,2048
%N A130127 Triangle defined by A000012 * A130125, read by rows.
%C A130127 Row sums = A011377: (1, 3, 8, 18, 39, ...). A130126 = A130125 * A000012.
%H A130127 G. C. Greubel, <a href="/A130127/b130127.txt">Rows n = 1..100 of triangle, flattened</a>
%F A130127 T(n,k) = 2^(k-1) * floor((n-k+2)/2). - _G. C. Greubel_, Jun 06 2019
%e A130127 First few rows of the triangle:
%e A130127   1;
%e A130127   1, 2;
%e A130127   2, 2,  4;
%e A130127   2, 4,  4,  8;
%e A130127   3, 4,  8,  8, 16;
%e A130127   3, 6,  8, 16, 16, 32;
%e A130127   4, 6, 12, 16, 32, 32, 64;
%e A130127   ...
%t A130127 Table[2^(k-1)*Floor[(n-k+2)/2], {n,1,12}, {k,1,n}]//Flatten (* _G. C. Greubel_, Jun 06 2019 *)
%o A130127 (PARI) {T(n,k) = 2^(k-1)*floor((n-k+2)/2)}; \\ _G. C. Greubel_, Jun 06 2019
%o A130127 (Magma) [[2^(k-1)*Floor((n-k+2)/2): k in [1..n]]: n in [1..12]]; // _G. C. Greubel_, Jun 06 2019
%o A130127 (Sage) [[2^(k-1)*floor((n-k+2)/2) for k in (1..n)] for n in (1..12)] # _G. C. Greubel_, Jun 06 2019
%Y A130127 Cf. A000012, A130125, A130126, A011377.
%K A130127 nonn,tabl
%O A130127 1,3
%A A130127 _Gary W. Adamson_, May 11 2007
%E A130127 More terms added by _G. C. Greubel_, Jun 06 2019