A141155 - OEIS

A141155

Triangle read by rows, A140207 * A000012.

1, 2, 1, 4, 3, 2, 7, 6, 5, 3, 12, 11, 10, 8, 5, 19, 18, 17, 15, 12, 7, 30, 29, 28, 26, 23, 18, 11, 45, 44, 43, 41, 38, 33, 26, 15, 67, 66, 65, 63, 60, 55, 48, 37, 22, 97, 96, 95, 93, 90, 85, 78, 67, 52, 30

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OFFSET

0,2

COMMENTS

Right border = the partition numbers, A000041.

LINKS

Table of n, a(n) for n=0..54.

FORMULA

A140207 * A000012 as infinite lower triangular matrices.

EXAMPLE

First few rows of the triangle are:

2, 1;

4, 3, 2;

7, 6, 5, 3;

12, 11, 10, 8, 5;

19, 18, 17, 15, 12, 7;

30, 29, 28, 26, 23, 18, 11;

45, 44, 43, 41, 38, 33, 26, 15;

...

n-th row of the triangle = partial sums n-th row terms of triangle A140207 starting from the right. Example: row 3 = (7, 6, 5, 3), since row 3 of triangle A140207 = (1, 1, 2, 3).

CROSSREFS

Cf. A000041, A000070 (first column), A141156 (row sums), A140207.

Sequence in context: A064277 A287010 A144330 * A204922 A057669 A243610

Adjacent sequences: A141152 A141153 A141154 * A141156 A141157 A141158

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson & Roger L. Bagula, Jun 12 2008

STATUS

approved