cp's OEIS Frontend

A152252 Triangle read by rows, M*Q, where M = an infinite lower triangular matrix with powers of 3 prefaced by a 1 in every row: (1, 1, 3, 9, 27, ...) and Q = a matrix with A006012 prefaced by a 1 as the main diagonal and the rest zeros.

%I A152252 #4 Feb 08 2022 23:24:28
%S A152252 1,1,1,3,1,2,9,3,2,6,27,9,6,6,20,81,27,18,18,20,68,243,81,54,54,60,68,
%T A152252 232,729,243,162,162,180,204,232,792,2187,729,486,486,540,612,696,792,
%U A152252 2704,6561,2187,1458,1458,1620,1836,2088,2376,2704,9232
%N A152252 Triangle read by rows, M*Q, where M = an infinite lower triangular matrix with powers of 3 prefaced by a 1 in every row: (1, 1, 3, 9, 27, ...) and Q = a matrix with A006012 prefaced by a 1 as the main diagonal and the rest zeros.
%C A152252 Eigentriangle, row sums = A006012
%C A152252 Row sums = A006012: (1, 2, 6, 20, 68, 232, ...).
%C A152252 Sum of n-th row terms = rightmost term of next row.
%e A152252 First few rows of the triangle:
%e A152252      1;
%e A152252      1,   1;
%e A152252      3,   1,   2;
%e A152252      9,   3,   2,   6;
%e A152252     27,   9,   6,   6,  20;
%e A152252     81,  27,  18,  18,  20,  68;
%e A152252    243,  81,  54,  54,  60,  68, 232;
%e A152252    729, 243, 162, 162, 180, 204, 232, 792;
%e A152252   2187, 729, 846, 486, 540, 612, 696, 792, 2704;
%e A152252   ...
%e A152252 Row 3 = (9, 3, 2, 6) = termwise products of (9, 3, 1, 1) and (1, 1, 2, 6).
%Y A152252 Cf. A006012.
%K A152252 eigen,nonn,tabl
%O A152252 0,4
%A A152252 _Gary W. Adamson_, Nov 30 2008