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A132044 A007318 + A103451 - A000012. 2
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; text; internal format)
OFFSET

0,8

COMMENTS

Row sums = A132045: (1, 2, 3, 6, 13, 28, 59,...).

LINKS

Table of n, a(n) for n=0..65.

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, Feb 08 2010

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;

...

MATHEMATICA

Contribution from Roger L. Bagula, 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)

CROSSREFS

Cf. A007318, A103451, A132045.

Sequence in context: A161671 A144444 A054106 * A034327 A034254 A157103

Adjacent sequences:  A132041 A132042 A132043 * A132045 A132046 A132047

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, Aug 08 2007

STATUS

approved

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Last modified November 19 03:53 EST 2017. Contains 294912 sequences.