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Search: id:A125751
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| A125751 |
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A Moessner triangle using (1,2,1,2,1,2...). |
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+0
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
(list; table; graph; listen)
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OFFSET
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1,2
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COMMENT
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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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Joshua Zucker (joshua.zucker(AT)stanfordalumni.org), Jun 17 2007, Table of n, a(n) for n = 1..65
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FORMULA
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Circle n=1,3,6,10...(-th) terms 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.)
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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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Cf. A125714, A125750, A125752.
Sequence in context: A145064 A144332 A038719 this_sequence A099492 A144203 A075302
Adjacent sequences: A125748 A125749 A125750 this_sequence A125752 A125753 A125754
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KEYWORD
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nonn,uned,tabl
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Dec 06 2006
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EXTENSIONS
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More terms from Joshua Zucker (joshua.zucker(AT)stanfordalumni.org), Jun 17 2007
Corrected the comment concerning the left border - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 17 2009
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