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A125751
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A Moessner triangle using (1, 2, 1, 2, 1, 2, ...).
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3
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1, 2, 1, 4, 5, 2, 10, 18, 9, 2, 38, 78, 53, 15, 1, 186, 422, 344, 129, 23, 1, 1106, 2704, 2484, 1123, 268, 32, 2, 7718, 19998, 20080, 10342, 2991, 490, 42, 2, 61662, 167520, 180466, 102700, 34211, 6891, 824, 54, 1, 554330, 1567518, 1789474, 1103206
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OFFSET
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1,2
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COMMENTS
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Circle terms n = 1, 3, 6, 10, ... in the sequence (1, 2, 1, 2, 1, 2, ...). Partial sums of the uncircled terms becomes row 2. Circle the terms in row 2 that are one place offset to the left of the circled row 1 terms. Take partial sums and continue with analogous operations. (Cf. A125714 and "The Book of Numbers", p. 64.)
Left border (1, 2, 4, 10, 38, 186, 1106, 7718, 61662, ...).
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REFERENCES
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J. H. Conway and R. K. Guy, "The Book of Numbers", Springer-Verlag, 1996, p. 64.
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LINKS
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EXAMPLE
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First few rows of the triangle are:
1;
2, 1;
4, 5, 2;
10, 18, 9, 2;
38, 78, 53, 15, 1;
...
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CROSSREFS
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KEYWORD
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AUTHOR
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EXTENSIONS
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Corrected the comment concerning the left border - R. J. Mathar, Sep 17 2009
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STATUS
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approved
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