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A375383 Triangle read by rows: The matrix inverse of the row reversed Euler table A026820.

%I A375383 #9 Aug 13 2024 16:26:12
%S A375383 1,-2,1,1,-2,1,0,2,-3,1,0,-2,4,-3,1,0,2,-4,5,-4,1,0,-2,4,-7,8,-4,1,0,
%T A375383 3,-6,12,-15,10,-5,1,0,-6,12,-23,28,-20,13,-5,1,0,13,-26,48,-57,42,
%U A375383 -31,16,-6,1,0,-30,60,-110,130,-98,76,-43,20,-6,1
%N A375383 Triangle read by rows: The matrix inverse of the row reversed Euler table A026820.
%e A375383 Triangle starts:
%e A375383   [1] [ 1]
%e A375383   [2] [-2,  1]
%e A375383   [3] [ 1, -2,  1]
%e A375383   [4] [ 0,  2, -3,   1]
%e A375383   [5] [ 0, -2,  4,  -3,   1]
%e A375383   [6] [ 0,  2, -4,   5,  -4,   1]
%e A375383   [7] [ 0, -2,  4,  -7,   8,  -4,  1]
%e A375383   [8] [ 0,  3, -6,  12, -15,  10, -5,  1]
%e A375383   [9] [ 0, -6, 12, -23,  28, -20, 13, -5, 1]
%p A375383 with(LinearAlgebra):
%p A375383 A058400 := Matrix(10, (n, k) -> ifelse(k <= n, A026820(n, n - k + 1), 0)):
%p A375383 MatrixInverse(A058400);
%Y A375383 Cf. A026820, A008284, A058400, A375382 (row sums of abs(term)).
%K A375383 sign,tabl
%O A375383 1,2
%A A375383 _Peter Luschny_, Aug 13 2024