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A127170
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Triangle, square of A051731.
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9
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1, 2, 1, 2, 0, 1, 3, 2, 0, 1, 2, 0, 0, 0, 1, 4, 2, 2, 0, 0, 1, 4, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 3, 0, 2, 0, 0, 0, 0, 0, 1, 4, 2, 0, 0, 2, 0, 0, 0, 0, 1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Non-zero terms in every column = d(n), A000005: (1, 2, 2, 3, 2, 4, 2, 4,...). Row sums = A007425: (1, 3, 3, 6, 3, 9, 3, 10,...). A127170 * [1, 0, 0, 0,...] = A000005: (1, 2, 2, 3, 2, 4,...) A127170 * [1, 2, 3,...] = A007429: (1, 4, 10, 4, 16,...).
Contribution from Gary W. Adamson (qntmpkt(AT)yahoo.com), Apr 27 2009: (Start)
Eigensequence of the triangle = A007557. (i.e, sequence A007557 shifts to the
left upon multiplication by A127170.) (End)
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FORMULA
| Square of A051731 A000005, d(n); in every column k, interspersed with (k-1) zeros.
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EXAMPLE
| First few rows of the triangle are:
1;
2, 1;
2, 0, 1;
3, 2, 0, 1;
2, 0, 0, 0, 1;
4, 2, 2, 0, 0, 1;
2, 0, 0, 0, 0, 0, 1;
4, 3, 0, 2, 0, 0, 0, 1;
3, 0, 2, 0, 0, 0, 0, 0, 1;
4, 2, 0, 0, 2, 0, 0, 0, 0, 1;
...
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CROSSREFS
| Cf. A051731, A000005, A007425, A126988, A007429, A127170.
A007557 [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Apr 27 2009]
Sequence in context: A028933 A190491 A143352 * A143335 A099505 A156837
Adjacent sequences: A127167 A127168 A127169 * A127171 A127172 A127173
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KEYWORD
| nonn,tabl
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Jan 06 2007
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