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A130831
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Irregular triangle read by rows: row(1) = [1,2]; thereafter row(n+1) is the tensor square of row(n).
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1
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1, 2, 1, 2, 2, 4, 1, 2, 2, 4, 2, 4, 4, 8, 2, 4, 4, 8, 4, 8, 8, 16, 1, 2, 2, 4, 2, 4, 4, 8, 2, 4, 4, 8, 4, 8, 8, 16, 2, 4, 4, 8, 4, 8, 8, 16, 4, 8, 8, 16, 8, 16, 16, 32, 2, 4, 4, 8, 4, 8, 8, 16, 4, 8, 8, 16, 8, 16, 16, 32, 4, 8, 8, 16, 8, 16, 16, 32, 8, 16, 16, 32, 16, 32, 32, 64, 2, 4, 4, 8, 4, 8, 8, 16
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Self-similar recursion based number set {1,2}.
Row lengths are A001146. These are the kind of numbers encountered when making self-similar fractals by levels.
N-th Row of the triangle are the first A001146(n) elements of A001316. - Benjamin Heiland, Dec 12 2011
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EXAMPLE
| Triangle begins:
{1, 2},
{1, 2, 2, 4},
{1, 2, 2, 4, 2, 4, 4, 8, 2, 4, 4, 8, 4, 8, 8, 16}
...
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MATHEMATICA
| a[1] = {1, 2}; a[2] = {1, 2, 2, 4}; a[n_] := a[n] = Flatten[Table[a[n - 1][[m]]*a[n - 1], {m, 1, Length[a[n - 1]]}]]; w = Table[a[n], {n, 1, 4}]; Flatten[w]
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CROSSREFS
| Cf. A001146, A060803, A130830.
Sequence in context: A078660 A060177 A048896 * A151678 A151681 A131097
Adjacent sequences: A130828 A130829 A130830 * A130832 A130833 A130834
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KEYWORD
| nonn,tabf
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AUTHOR
| Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Aug 20 2007
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EXTENSIONS
| Edited by N. J. A. Sloane (njas(AT)research.att.com), Jun 07 2008
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