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 A195916 Table with T(n,n) = n, T(n,k) = xor(T(n-1,k-1), T(n-1,k)) 1
 1, 1, 2, 1, 3, 3, 1, 2, 0, 4, 1, 3, 2, 4, 5, 1, 2, 1, 6, 1, 6, 1, 3, 3, 7, 7, 7, 7, 1, 2, 0, 4, 0, 0, 0, 8, 1, 3, 2, 4, 4, 0, 0, 8, 9, 1, 2, 1, 6, 0, 4, 0, 8, 1, 10, 1, 3, 3, 7, 6, 4, 4, 8, 9, 11, 11, 1, 2, 0, 4, 1, 2, 0, 12, 1, 2, 0, 12 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS We take T(n,0) = 0 for the calculation. Every column is periodic. It appears that, if 2^j > k, column k has period 2^j. If so, then for j >= i, T(2^j,2^i) = 2^i and T(2^j,k) = 0 if k is not a power of 2. LINKS EXAMPLE The table starts: 1 1, 2 1, 3, 3 1, 2, 0, 4 1, 3, 2, 4, 5 1, 2, 1, 6, 1, 6 1, 3, 3, 7, 7, 7, 7 PROG (PARI) anrow(n)=local(r, v); r=v=[1]; for(k=2, n, v=vector(#v+1, j, if(j==k, k, bitxor(v[j], if(j==1, 0, v[j-1])))); r=concat(r, v)); r CROSSREFS Row reversals of A195915. For xor see A003987. Sequence in context: A274309 A158440 A119803 * A245554 A110569 A140815 Adjacent sequences:  A195913 A195914 A195915 * A195917 A195918 A195919 KEYWORD nonn,easy,tabl AUTHOR Franklin T. Adams-Watters, Sep 25 2011 STATUS approved

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