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Search: id:A127192
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| 1, 2, 1, 4, 0, 1, 5, 2, 0, 1, 8, 0, 0, 0, 1, 8, 4, 2, 0, 0, 1, 12, 0, 0, 0, 0, 0, 1, 8, 4, 2, 0, 0, 1, 12, 0, 0, 0, 0, 0, 1, 12, 5, 0, 2, 0, 0, 0, 1, 16, 0, 4, 0, 0, 0, 0, 0, 1, 16, 8, 0, 0, 2, 0, 0, 0, 0, 1
(list; table; graph; listen)
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OFFSET
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1,2
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COMMENT
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Row sums = A018804: (1, 3, 5, 8, 9, 15,...), Sum of gcd(k,n) for 1<= k <= n. Left column = A029935: (1, 2, 4, 5, 8, 8, 12, 12,...). A127192 * d(n) = d(n) * n, or A127192 * A000005 = A038040 = (1, 4, 6, 12, 10, 24, 14,...).
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FORMULA
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Triangle, Square of A054523 By columns, parsed terms of A029935 interspersed with (k-1) zeros.
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EXAMPLE
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First few rows of the triangle are:
1;
2, 1;
4, 0, 1;
5, 2, 0, 1;
8, 0, 0, 0, 1;
8, 4, 2, 0, 0, 1;
12, 0, 0, 0, 0, 0, 1;
12, 5, 0, 2, 0, 0, 0, 1;
16, 0, 4, 0, 0, 0, 0, 0, 1;
...
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CROSSREFS
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Cf. A029935, A018804, A054523, A000005, A038040.
Sequence in context: A096097 A016585 A143316 this_sequence A122141 A091604 A137629
Adjacent sequences: A127189 A127190 A127191 this_sequence A127193 A127194 A127195
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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), Jan 07 2007
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