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A141155 Triangle read by rows, A140207 * A000012. +0
2
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 (list; table; graph; listen)
OFFSET

0,2

COMMENT

Right border = the partition numbers, A000041.

Left border = A000070.

Row sums = A141156.

FORMULA

A140207 * A000012 as infinite lower triangular matrices.

EXAMPLE

First few rows of the triangle are:

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;

...

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, A141156, A140207.

Sequence in context: A110663 A064277 A144330 this_sequence A057669 A144333 A126136

Adjacent sequences: A141152 A141153 A141154 this_sequence A141156 A141157 A141158

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson & Roger L. Bagula (qntmpkt(AT)yahoo.com), Jun 12 2008

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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