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A153490
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Anti-diagonal of Sierpinski carpet binary square matrix as a triangular sequence; (uses MathWorld definition program).
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0
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1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1
(list;
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refs;
listen;
history;
text;
internal format)
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OFFSET
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1,1
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COMMENTS
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Row sums are:
{1, 2, 2, 4, 5, 4, 6, 6, 4, 8, 10, 8,...}.
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LINKS
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Table of n, a(n) for n=1..78.
Eric Weisstein's World of Mathematics, Sierpinski Carpet.
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EXAMPLE
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{1},
{1, 1},
{1, 0, 1},
{1, 1, 1, 1},
{1, 1, 1, 1, 1},
{1, 0, 1, 1, 0, 1},
{1, 1, 1, 0, 1, 1, 1},
{1, 1, 1, 0, 0, 1, 1, 1},
{1, 0, 1, 0, 0, 0, 1, 0, 1},
{1, 1, 1, 1, 0, 0, 1, 1, 1, 1},
{1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1},
{1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1}
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MATHEMATICA
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<< MathWorld`Fractal`; fractal = SierpinskiCarpet;
a = fractal[4]; Table[Table[a[[m]][[n - m + 1]], {m, 1, n}], {n, 1, 12}];
Flatten[%]
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CROSSREFS
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Sequence in context: A059095 A105597 A071026 * A014194 A014379 A014164
Adjacent sequences: A153487 A153488 A153489 * A153491 A153492 A153493
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KEYWORD
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nonn,uned,tabl
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AUTHOR
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Roger L. Bagula, Dec 27 2008
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STATUS
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approved
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