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A128229
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A natural number transform, inverse of signed A094587.
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14
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1, 1, 1, 0, 2, 1, 0, 0, 3, 1, 0, 0, 0, 4, 1, 0, 0, 0, 0, 5, 1, 0, 0, 0, 0, 0, 6, 1, 0, 0, 0, 0, 0, 0, 7, 1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,5
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COMMENTS
| Signed version of the transform (with -1,-2,-3...in the subdiagonal) gives A094587 having row sums A000522: (1, 2, 5, 16, 65, 236,...). Unsigned inverse gives signed A094587 (with alternate signs); giving row sums = a signed variation of A094587 as follows: (1, 0, 1, -2, 9, -44, 265, -1854,...). Binomial transform of the triangle = A093375.
Eigensequence of the triangle = A000085 starting (1, 2, 4, 10, 26, 76,...). [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Dec 29 2008]
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FORMULA
| Infinite lower triangular matrix with (1,1,1,...) in the main diagonal and (1,2,3,...) in the subdiagonal.
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EXAMPLE
| First few rows of the triangle are:
1;
1, 1;
0, 2, 1;
0, 0, 3, 1;
0, 0, 0, 4, 1;
0, 0, 0, 0, 5, 1;
0, 0, 0, 0, 0, 6, 1;
0, 0, 0, 0, 0, 0, 7, 1;
...
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CROSSREFS
| Cf. A094587, A000522, A094587, A093375, A128228, A128227.
A000085 [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Dec 29 2008]
Sequence in context: A113263 A063658 A132013 * A145677 A105820 A136263
Adjacent sequences: A128226 A128227 A128228 * A128230 A128231 A128232
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KEYWORD
| nonn,tabl
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Feb 19 2007
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