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A160760
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Triangle read by rows, binomial transform of an infinite lower triangular Toeplitz matrix with A078008 in every column.
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1
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1, 1, 1, 3, 2, 1, 9, 5, 3, 1, 27, 14, 8, 4, 1, 81, 41, 22, 12, 5, 1, 243, 122, 63, 34, 17, 6, 1, 729, 365, 185, 97, 21, 23, 7, 1, 2187, 1094, 550, 282, 148, 74, 30, 8, 1, 6561, 3281, 1644, 832, 430, 222, 104, 38, 9, 1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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COMMENTS
| Row sums = A025192: (1, 2, 6, 18, 54, 162, 486, 1458,...).
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FORMULA
| A007318 * an infinite lower triangular Toeplitz matrix with A078008 in every column: (1, 0, 2, 2, 6, 10, 22, 42, 86,...).
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EXAMPLE
| First few rows of the triangle =
1;
1, 1;
3, 2, 1;
9, 5, 3, 1;
27, 14, 8, 4, 1;
81, 41, 22, 12, 5, 1;
243, 122, 63, 34, 17, 6, 1;
729, 365, 185, 97, 51, 23, 7, 1;
2187, 1094, 550, 282, 148, 74, 30, 8, 1;
6561, 3281, 1644, 832, 430, 222, 104, 38, 9, 1;
...
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CROSSREFS
| Cf. A078008, A025192
Sequence in context: A156647 A183154 A193791 * A152860 A002350 A109267
Adjacent sequences: A160757 A160758 A160759 * A160761 A160762 A160763
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KEYWORD
| nonn,tabl
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), May 25 2009
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