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A127738 Triangle read by rows: the matrix product A004736 * A127701 of two triangular matrices. 0

%I #10 Aug 31 2022 08:12:54

%S 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 15,20,23,24,23,20,15,8,17,23,27,29,29,27,23,17,9,19,26,31,34,35,34,

%U 31,26,19,10

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

%C Left column = A028387: (1, 5, 11, 19, 29, 41, 55, ...).

%F T(n,k) = Sum_{j=k..n) A004736(n,j)*A127701(j,k). - _R. J. Mathar_, Aug 31 2022

%F 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 First few rows of the triangle:

%e 1;

%e 3, 2;

%e 5, 5, 3;

%e 7, 8, 7, 4;

%e 9, 11, 11, 9, 5;

%e 11, 14, 15, 14, 11, 6;

%e 13, 17, 19, 19, 17, 13, 7;

%e ...

%Y Cf. A004736, A127701, A008778 (row sums), A028387.

%K nonn,tabl,easy

%O 1,2

%A _Gary W. Adamson_, Jan 27 2007

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Last modified April 24 19:31 EDT 2024. Contains 371962 sequences. (Running on oeis4.)