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Rémy Sigrist, <a href="/A351995/b351995.txt">Table of n, a(n) for n = 0..10010</a>
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approved
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In other words, in binary expansion of n, replace 2^i by 2^(k*i).
A(A(n, k), k') = A(n, k*k') for k, k' > 0.
Square array A(n, k), n, k >= 0, read by antidiagonals upwards; TA(n, k) = Sum_{ i >= 0 } b_i * 2^(k*i) where n = Sum_{ i >= 0 } b_i * 2^i.