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Search: id:A136158
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| 1, 1, 1, 3, 4, 1, 9, 15, 7, 1, 27, 54, 36, 10, 1, 81, 189, 162, 66, 13, 1, 243, 648, 675, 360, 105, 16, 1, 729, 2187, 2673, 1755, 675, 153, 19, 1, 2187, 7290, 10206, 7938, 3780, 1134, 210, 22, 1, 6561, 24057, 37908, 34020, 19278, 7182, 1764, 276, 25, 1
(list; table; graph; listen)
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OFFSET
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0,4
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COMMENT
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Row sums = A081294: (1, 2, 8, 32, 128, 512,...).
Triangle T(n,k), 0<=k<=n, read by rows given by [1,2,0,0,0,0,0,0,0,0,...] DELTA [1,0,0,0,0,0,0,0,...] where DELTA is the operator defined in A084938 . - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Dec 17 2007
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FORMULA
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Given A136157 = M, an infinite lower triangular bidiagonal matrix with (3, 3, 3,...) in the main diagonal, (1, 1, 1,...) in the subdiagonal and the rest zeros; rows of A136157 are generated from M^n * [1, 1, 0, 0, 0,...], given a(0) = 1.
T(n,k)=A038763(n,n-k). - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Dec 17 2007
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EXAMPLE
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First few rows of the triangle are:
1;
1, 1;
3, 4, 1;
9, 15, 7, 1;
27, 54, 36, 10, 1;
81, 189, 162, 66, 13, 1;
243, 648, 675, 360, 105, 16, 1;
729, 2187, 2673, 1755, 675, 153, 19, 1;
...
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CROSSREFS
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Cf. A136157, A081294.
Adjacent sequences: A136155 A136156 A136157 this_sequence A136159 A136160 A136161
Sequence in context: A116392 A105578 A010611 this_sequence A102051 A078068 A054649
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KEYWORD
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nonn,tabl
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Dec 16 2007
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EXTENSIONS
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More terms from Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Dec 17 2007
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