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1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 3, 5, 3, 1, 1, 4, 9, 9, 4, 1, 1, 5, 14, 19, 14, 5, 1, 1, 6, 20, 34, 34, 20, 6, 1, 1, 7, 27, 55, 69, 55, 27, 7, 1, 1, 8, 35, 83, 125, 125, 83, 35, 8, 1, 1, 9, 44, 119, 209, 251, 209, 119, 44, 9, 1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,8
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COMMENTS
| Row sums = A132045: (1, 2, 3, 6, 13, 28, 59,...).
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FORMULA
| A007318 + A103451 - A000012 as infinite lower triangular matrices.
t(n,m)=If[m == 0 || m == n, 1, Binomial[n, m] - 1] Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Feb 08 2010
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EXAMPLE
| First few rows of the triangle are:
1;
1, 1;
1, 1, 1;
1, 2, 2, 1;
1, 3, 5, 3, 1;
1, 4, 9, 9, 4, 1;
1, 5, 14, 19, 14, 5, 1;
1, 6, 20, 34, 34, 20, 6, 1;
1, 7, 27, 55, 69, 55, 27, 7, 1;
...
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MATHEMATICA
| Contribution from Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Feb 08 2010: (Start)
t[n_, m_] := If[m == 0 || m == n, 1, Binomial[n, m] - 1];
Table[Table[t[n, m], {m, 0, n}], {n, 0, 10}];
Flatten[%] (End)
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CROSSREFS
| Cf. A007318, A103451, A132045.
Sequence in context: A161671 A144444 A054106 * A034327 A034254 A157103
Adjacent sequences: A132041 A132042 A132043 * A132045 A132046 A132047
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KEYWORD
| nonn,tabl
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Aug 08 2007
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