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A140070
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Triangle read by rows, iterates of matrix X * [1,0,0,0,...], where X = an infinite lower bidiagonal matrix with [1,3,1,3,1,3,...] in the main diagonal and [1,1,1,...] in the subdiagonal.
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3
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1, 1, 1, 1, 4, 1, 1, 13, 5, 1, 1, 40, 18, 8, 1, 1, 121, 58, 42, 9, 1, 1, 364, 179, 184, 51, 12, 1, 1, 1093, 543, 731, 235, 87, 13, 1, 1, 3280, 1636, 2736, 966, 496, 100, 16, 1, 1, 9841, 4916, 9844, 3702, 2454, 596, 148, 17, 1, 1, 29524, 14757, 34448, 13546, 11064, 3050
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,5
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COMMENTS
| Row sums = A006012: (1, 2, 6, 20, 68, 232, 792, 2704,...).
Companion to triangle A140071.
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FORMULA
| Triangle read by rows, iterates of matrix X * [1,0,0,0,...], where X = an infinite lower bidiagonal matrix with [1,3,1,3,1,3,...] 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;
1, 1;
1, 4, 1;
1, 13, 5, 1;
1, 40, 18, 8, 1;
1, 121, 58, 42, 9, 1;
1, 364, 179, 184, 51, 12, 1;
1, 1093, 543, 731, 235, 87, 13, 1;
1, 3280, 1636, 2736, 966, 496, 100, 16, 1;
...
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CROSSREFS
| Cf. A006012, A140071.
Sequence in context: A051433 A163366 A181145 * A158815 A101275 A039755
Adjacent sequences: A140067 A140068 A140069 * A140071 A140072 A140073
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KEYWORD
| nonn,tabl
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.comandRogerL.Bagula), May 04 2008
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