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Search: id:A131923
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| 1, 2, 2, 3, 4, 3, 4, 6, 6, 4, 5, 8, 10, 8, 5, 6, 10, 15, 15, 10, 6, 7, 12, 21, 26, 21, 12, 7, 8, 14, 28, 42, 42, 28, 14, 8, 9, 16, 36, 64, 78, 64, 36, 9, 10, 18, 45, 93, 135, 135, 93, 45, 18, 10
(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 = A131924: (1, 4, 10, 20, 36, 62, 106, 184,...).
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FORMULA
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A002024 - A007318 - A000012 as infinite lower triangular matrices. A002024 = (1; 2,2; 3,3,3;...); A007318 = Pascal's triangle and A000012 = (1; 1,1; 1,1,1;...).
t(n,m)=binomial[n, m] + n. - Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Jul 30 2008
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EXAMPLE
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First few rows of the triangle are:
1;
2, 2;
3, 4, 3;
4, 6, 6, 4;
5, 8, 10, 8, 5;
6, 10, 15, 15, 10, 6;
7, 12, 21, 26, 21, 12, 7;
8, 14, 28, 42, 42, 28, 14, 8;
9, 16, 36, 64, 78, 64, 36, 16, 9;
10, 18, 45, 93, 135, 135, 93, 45, 18, 10;
...
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MATHEMATICA
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T[n_, m_] = Binomial[n, m] + n; Table[Table[T[n, m], {m, 0, n}], {n, 0, 10}]; Flatten[%] - Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Jul 30 2008
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CROSSREFS
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Cf. A002024, A007318, A000012, A131924.
Cf. A003991.
Adjacent sequences: A131920 A131921 A131922 this_sequence A131924 A131925 A131926
Sequence in context: A032355 A091257 A003991 this_sequence A119457 A065157 A051597
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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), Jul 29 2007
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