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Search: id:A125175
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| 1, 1, 2, 1, 3, 3, 1, 4, 5, 4, 1, 5, 10, 7, 5, 1, 6, 14, 20, 9, 6, 1, 7, 21, 30, 35, 11, 7, 1, 8, 27, 56, 55, 56, 13, 8, 1, 9, 36, 77, 126, 91, 84, 15, 9, 1, 10, 44, 120, 182, 252, 140, 120, 17, 10, 1, 11, 55, 156, 330, 378, 462, 204, 165, 19, 11, 1, 12, 65, 220, 450
(list; table; graph; listen)
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OFFSET
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1,3
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COMMENT
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Row sums are 1, 3, 7, 14, 28, 56...; (i.e. 1, 3,...then 1*7, 2*7, 4*7, 8*7...)
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FORMULA
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Given A053123, unsigned: (1; 1, 2; 1, 4, 3; 1, 6, 10, 4;...), we alternate these as ascending diagonals with rows of A082985: (1; 1, 3; 1, 5, 5; 1, 7, 14, 7;...).
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EXAMPLE
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First few rows of the triangle are:
1;
1, 2;
1, 3, 3;
1, 4, 5, 4;
1, 5, 10, 7, 5;
1, 6, 14, 20, 9, 6;
1, 7, 21, 30, 35, 11, 7;
1, 8, 27, 56, 55, 56, 13, 8;
1, 9, 36, 77, 126, 91, 84, 15, 9;
...
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CROSSREFS
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Cf. A053123, A082985.
Sequence in context: A128139 A104732 A132108 this_sequence A073020 A090349 A093430
Adjacent sequences: A125172 A125173 A125174 this_sequence A125176 A125177 A125178
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KEYWORD
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nonn,tabl,uned
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Nov 22 2006
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