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A135841 A000012 * A135839 as infinite lower triangular matrices.

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%I A135841 #14 Mar 27 2022 22:26:32
%S A135841 1,2,1,3,1,1,4,2,1,1,5,2,2,1,1,6,3,2,2,1,1,7,3,3,2,2,1,1,8,4,3,3,2,2,
%T A135841 1,1,9,4,4,3,3,2,2,1,1,10,5,4,4,3,3,2,2,1,1,11,5,5,4,4,3,3,2,2,1,1,12,
%U A135841 6,5,5,4,4,3,3,2,2,1,1,13,6,6,5,5,4,4,3,3,2,2,1,1
%N A135841 A000012 * A135839 as infinite lower triangular matrices.
%C A135841 Row sums = A024206: (1, 3, 5, 8, 11, 15, 19, ...).
%H A135841 G. C. Greubel, <a href="/A135841/b135841.txt">Table of n, a(n) for n = 1..1275</a>
%F A135841 T(1, 1) = 1,  T(n, 1) = n, T(n, n) = 1, T(n, k) = floor((n - k + 2)/2). - _G. C. Greubel_, Dec 06 2016
%e A135841 First few rows of the triangle:
%e A135841   1;
%e A135841   2, 1;
%e A135841   3, 1, 1;
%e A135841   4, 2, 1, 1;
%e A135841   5, 2, 2, 1, 1;
%e A135841   6, 3, 2, 2, 1, 1;
%e A135841   7, 3, 3, 2, 2, 1, 1;
%e A135841   ...
%t A135841 T[1, 1] := 1; T[n_, 1] := n; T[n_, n_] := 1; T[n_, k_] := Floor[(n - k + 2)/2]; Table[T[n, k], {n, 1, 15}, {k, 1, n}]//Flatten (* _G. C. Greubel_, Dec 06 2016 *)
%Y A135841 Cf. A135839, A024206.
%K A135841 nonn,tabl
%O A135841 1,2
%A A135841 _Gary W. Adamson_, Dec 01 2007
%E A135841 Terms a(56) and beyond from _G. C. Greubel_, Dec 06 2016