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A130321
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Triangle, (2^0, 2^1, 2^2...) in every column.
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18
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1, 2, 1, 4, 2, 1, 8, 4, 2, 1, 16, 8, 4, 2, 1, 32, 16, 8, 4, 2, 1, 64, 32, 16, 8, 4, 2, 1, 128, 64, 32, 16, 8, 4, 2, 1, 256, 128, 64, 32, 16, 8, 4, 2, 1, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1, 2048, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| A130321^2 = A130322. Binomial transform of A130321 = triangle A027649. A007318^2 = A038207 = A007318(n,k) * A130321(n,k); i.e. the square of Pascal's triangle = dot product of Pascal's triangle rows and A130321 rows: A007318^2 = (1; 2,1; 4,4,1; 8,12,6,1;...), where row 3, (8,12,6,1) = (1,3,3,1) dot (8,4,2,1).
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FORMULA
| Triangle, (1, 2, 4, 8,...) in every column. Rows are reversals of A059268 terms.
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EXAMPLE
| First few rows of the triangle are:
1;
2, 1;
4, 2, 1;
8, 4, 2, 1;
...
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CROSSREFS
| Cf. A059268, A027649, A130322, A038207.
Sequence in context: A177953 A138895 A138846 * A101508 A106471 A180870
Adjacent sequences: A130318 A130319 A130320 * A130322 A130323 A130324
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KEYWORD
| nonn,tabl
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), May 24 2007
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EXTENSIONS
| More terms from Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Feb 08 2009
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