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A090971
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Sierpiński's triangle, read by rows, starting from 1: T(n,k) = (T(n-1,k) + T(n-1,k-1)) mod 2.
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3
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1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1
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OFFSET
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1,1
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COMMENTS
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LINKS
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FORMULA
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T(n-1, k-1) = A074909(n, n-k) mod 2.
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EXAMPLE
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Triangle begins with:
1;
0, 1;
1, 1, 1;
0, 0, 0, 1;
1, 0, 0, 1, 1;
0, 1, 0, 1, 0, 1;
1, 1, 1, 1, 1, 1, 1; ...
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MATHEMATICA
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T[n_, k_]:= T[n, k]= If[k<0 || k>n, 0, If[k==n, 1, Mod[T[n-1, k] + T[n-1, k-1], 2]]]; Table[T[n, k], {n, 1, 10}, {k, 1, n}] (* G. C. Greubel, Feb 03 2019 *)
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PROG
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(PARI) T(n, k)=if(k<0 || k>n, 0, if(n==0, 1, (T(n-1, k)+T(n-1, k-1))%2))
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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