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A156319
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Triangle by columns: (1, 2, 0, 0, 0,...) in every column.
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1
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1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Binomial transform of the triangle = A110813.
Eigensequence of the triangle = A001045
Inverse = a triangle with (1, -2, 4, -8, 16,...) in every column.
Triangle T(n,k), 0<=k<=n, given by [2,-2,0,0,0,0,0,0,...] DELTA [1,0,0,0,0,0,0,0,...] where DELTA is the operator defined in A084938 . [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Feb 08 2009]
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FORMULA
| Triangle read by rows, T(n,k) = 1 if (n = k); 2 if k = n-1, 0 otherwise.
By columns, (1, 2, 0, 0, 0,...) in every column.
T(n,k)=A097806(n,k)*2^(n-k). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Feb 08 2009]
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EXAMPLE
| First few rows of the triangle =
1;
2, 1;
0, 2, 1;
0, 0, 2, 1;
0, 0, 0, 2, 1;
0, 0, 0, 0, 2, 1;
0, 0, 0, 0, 0, 2, 1;
0, 0, 0, 0, 0, 0, 2, 1;
0, 0, 0, 0, 0, 0, 0, 2, 1;
...
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CROSSREFS
| Cf. A110813, A001045
Sequence in context: A178235 A058531 A093073 * A190893 A030204 A083650
Adjacent sequences: A156316 A156317 A156318 * A156320 A156321 A156322
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KEYWORD
| nonn,tabl
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Feb 07 2009
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