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A127738 Triangle read by rows: the matrix product A004736 * A127701 of two triangular matrices.

%I A127738 #14 Sep 20 2024 02:04:10
%S A127738 1,3,2,5,5,3,7,8,7,4,9,11,11,9,5,11,14,15,14,11,6,13,17,19,19,17,13,7,
%T A127738 15,20,23,24,23,20,15,8,17,23,27,29,29,27,23,17,9,19,26,31,34,35,34,
%U A127738 31,26,19,10
%N A127738 Triangle read by rows: the matrix product A004736 * A127701 of two triangular matrices.
%C A127738 Left column = A028387: (1, 5, 11, 19, 29, 41, 55, ...).
%F A127738 T(n,k) = Sum_{j=k..n} A004736(n,j)*A127701(j,k). - _R. J. Mathar_, Aug 31 2022
%F A127738 T(n,k) = k+(k+1)*(n-k) = n+k*(n-k) = n +A094053(n,k) = A059036(n,k). - _R. J. Mathar_, Aug 31 2022
%e A127738 First few rows of the triangle:
%e A127738    1;
%e A127738    3,  2;
%e A127738    5,  5,  3;
%e A127738    7,  8,  7,  4;
%e A127738    9, 11, 11,  9,  5;
%e A127738   11, 14, 15, 14, 11,  6;
%e A127738   13, 17, 19, 19, 17, 13,  7;
%e A127738   ...
%Y A127738 Cf. A004736, A127701, A008778 (row sums), A028387.
%K A127738 nonn,tabl,easy
%O A127738 1,2
%A A127738 _Gary W. Adamson_, Jan 27 2007