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Search: id:A131830
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| 1, 2, 2, 3, 2, 3, 4, 3, 3, 4, 5, 4, 6, 4, 5, 6, 5, 10, 10, 5, 6, 7, 6, 15, 20, 15, 6, 7, 8, 7, 21, 35, 35, 21, 7, 8, 9, 8, 28, 56, 70, 56, 28, 8, 9, 10, 9, 36, 84, 126, 126, 84, 36, 9, 10, 11, 10, 45, 120, 210, 252, 210, 120, 45, 10, 11, 12, 11, 55, 165, 330, 462, 462, 330, 165, 55, 11, 12
(list; table; graph; listen)
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OFFSET
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0,2
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COMMENT
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Row sums = A131831: (1, 4, 8, 14, 24, 42, 76,...).
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LINKS
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B. D. Swan, Table of n, a(n) for n=0,...,100000
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FORMULA
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A131821 + A007318 - A000012 as infinite lower triangular matrices. Given Pascal's triangle, replace each (1,1,1,...) border with (1,2,3,...). s
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EXAMPLE
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First few rows of the triangle are:
1;
2, 2;
3, 2, 3;
4, 3, 3, 4;
5, 4, 6, 4, 5;
6, 5, 10, 10, 5, 6;
7, 6, 15, 20, 15, 6, 7;
...
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CROSSREFS
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Cf. A131821, A007318, A131831.
Sequence in context: A034883 A071647 A051125 this_sequence A147952 A091316 A071825
Adjacent sequences: A131827 A131828 A131829 this_sequence A131831 A131832 A131833
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KEYWORD
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nonn,tabl,easy
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Jul 20 2007
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