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A140071
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Triangle read by rows: iterates of X * [1,0,0,0,...]; where X = an infinite lower bidiagonal matrix with [3,1,3,1,3,1...] in the main diagonal and [1,1,1,...] in the subdiagonal.
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2
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1, 3, 1, 9, 4, 1, 27, 13, 7, 1, 81, 40, 34, 8, 1, 243, 121, 142, 42, 11, 1, 729, 364, 547, 184, 75, 12, 1, 2187, 1093, 2005, 731, 409, 87, 15, 1, 6561, 3280, 7108, 2736, 1958, 496, 132, 16, 1, 19683, 9841, 24604, 9844, 8610, 2454, 892, 148, 19, 1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Sum of n-th row terms = A007070(n-1): (1, 4, 14, 48, 164, 560, 1912,...).
Companion triangle A140070 uses an analogous operation with the main diagonal [1,3,1,3,1,3,...].
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FORMULA
| Triangle read by rows: iterates of X * [1,0,0,0,...]; where X = an infinite lower bidiagonal matrix with [3,1,3,1,3,1...] in the main diagonal and [1,1,1,...] in the subdiagonal; with the rest zeros.
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EXAMPLE
| First few rows of the triangle are:
1;
3, 1;
9, 4, 1;
27, 13, 7, 1;
81, 40, 34, 8, 1;
243, 121, 142, 42, 11, 1;
729, 364, 547, 184, 75, 12, 1;
2187, 1093, 2005, 731, 409, 87, 15, 1;
6561, 3280, 7108, 2736, 1958, 496, 132, 16, 1;
...
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CROSSREFS
| Cf. A140070, A007070.
Sequence in context: A162852 A054448 A106516 * A067417 A187887 A016577
Adjacent sequences: A140068 A140069 A140070 * A140072 A140073 A140074
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KEYWORD
| nonn,tabl
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AUTHOR
| Gary W. Adamson and Roger L. Bagula (qntmpkt(AT)yahoo.com), May 04 2008
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