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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A091603 Matrix inverse of triangle A091602.

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%I A091603 #9 Nov 27 2021 02:26:06
%S A091603 1,-1,1,-2,0,1,0,-2,0,1,1,-2,-1,0,1,3,-1,-2,-1,0,1,4,0,-2,-1,-1,0,1,3,
%T A091603 2,0,-2,-1,-1,0,1,3,3,0,-1,-1,-1,-1,0,1,0,4,2,0,-1,-1,-1,-1,0,1,0,4,2,
%U A091603 1,-1,0,-1,-1,-1,0,1,-3,3,3,2,1,-1,0,-1,-1,-1,0,1,-4,3,3,2,1,0,0,0,-1,-1,-1,0,1
%N A091603 Matrix inverse of triangle A091602.
%H A091603 G. C. Greubel, <a href="/A091603/b091603.txt">Table of n, a(n) for n = 1..1275</a>
%e A091603 Triangle begins as:
%e A091603    1;
%e A091603   -1,  1;
%e A091603   -2,  0,  1;
%e A091603    0, -2,  0,  1;
%e A091603    1, -2, -1,  0,  1;
%e A091603    3, -1, -2, -1,  0,  1;
%e A091603    4,  0, -2, -1, -1,  0,  1;
%e A091603    3,  2,  0, -2, -1, -1,  0,  1;
%e A091603    3,  3,  0, -1, -1, -1, -1,  0,  1;
%e A091603    0,  4,  2,  0, -1, -1, -1, -1,  0,  1;
%e A091603    0,  4,  2,  1, -1,  0, -1, -1, -1,  0,  1;
%e A091603   -3,  3,  3,  2,  1, -1,  0, -1, -1, -1,  0,  1;
%e A091603   -4,  3,  3,  2,  1,  0,  0,  0, -1, -1, -1,  0,  1;
%e A091603   -7,  2,  3,  2,  2,  1,  0,  0,  0, -1, -1, -1,  0,  1;
%e A091603   -9,  1,  3,  2,  2,  1,  0,  1,  0,  0, -1, -1, -1,  0,  1;
%t A091603 b[n_, i_, k_]:= b[n, i, k]= If[n==0, 1, If[i>n, 0, Sum[b[n-i*j, i+1, Min[k, Quotient[n-i*j, i+1]]], {j,0,k}]]];
%t A091603 t[n_, k_]:= t[n, k]= b[n, 1, k] - b[n, 1, k-1]; (* t = A091602 *)
%t A091603 M:= With[{p = 30}, Table[t[n, k], {n, p}, {k, p}]];
%t A091603 T:= Inverse[M];
%t A091603 Table[T[[n, k]], {n, 15}, {k, n}]//Flatten (* _G. C. Greubel_, Nov 26 2021 *)
%Y A091603 Cf. A091602, A091612 (column 1).
%K A091603 sign,tabl
%O A091603 1,4
%A A091603 _Christian G. Bower_, Jan 23 2004