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A382955 Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where A(n,k) = [x^n * y^k] Product_{p prime} (1 + x^p + y^p).

%I A382955 #14 Apr 10 2025 06:48:19
%S A382955 1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,2,0,1,1,0,2,0,0,0,0,0,0,0,2,0,1,0,0,1,
%T A382955 0,2,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,2,0,1,2,0,2,0,2,1,0,2,1,0,
%U A382955 0,0,0,0,0,0,0,0,0,1,2,0,1,1,0,2,0,2,0,1,1,0,2
%N A382955 Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where A(n,k) = [x^n * y^k] Product_{p prime} (1 + x^p + y^p).
%H A382955 Seiichi Manyama, <a href="/A382955/b382955.txt">Antidiagonals n = 0..139, flattened</a>
%F A382955 A(n,k) = A(k,n).
%e A382955 Square array begins:
%e A382955   1, 0, 1, 1, 0, 2, 0, 2, 1, 1, ...
%e A382955   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ...
%e A382955   1, 0, 0, 1, 0, 1, 0, 1, 1, 0, ...
%e A382955   1, 0, 1, 0, 0, 1, 0, 2, 0, 1, ...
%e A382955   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ...
%e A382955   2, 0, 1, 1, 0, 2, 0, 2, 0, 1, ...
%e A382955   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ...
%e A382955   2, 0, 1, 2, 0, 2, 0, 2, 1, 0, ...
%e A382955   1, 0, 1, 0, 0, 0, 0, 1, 0, 1, ...
%e A382955   1, 0, 0, 1, 0, 1, 0, 0, 1, 0, ...
%Y A382955 Columns k=0..1 give A000586, A000004.
%Y A382955 Main diagonal gives 2*A382871(n) (for n > 0).
%Y A382955 Cf. A284593, A382956.
%K A382955 nonn,tabl
%O A382955 0,16
%A A382955 _Seiichi Manyama_, Apr 10 2025