A141157 Triangle read by rows, A000012 * A140207.

1, 2, 1, 3, 2, 2, 4, 3, 4, 3, 5, 4, 6, 6, 5, 6, 5, 8, 9, 10, 7, 7, 6, 10, 12, 15, 14, 11, 8, 7, 12, 15, 20, 21, 22, 15, 9, 8, 14, 18, 25, 28, 33, 30, 22, 10, 9, 16, 21, 30, 35, 44, 45, 44, 30, 11, 10, 18, 24, 35, 42, 55, 60, 66, 60, 42, 12, 11, 20, 27, 40, 49, 66, 75, 88, 90, 84, 56

Offset

0,2

Comments

Right border = partition numbers, A000041.

Row sums = A014153: (1, 3, 7, 14, 26, 45, 75,...).

Links

Table of n, a(n) for n=0..77.

Formula

Triangle read by rows, A000012 * A140207; equivalent to taking partial sums of triangle A140207 terms, by columns.

Example

First few rows of the triangle are:
1;
2, 1;
3, 2, 2;
4, 3, 4, 3;
5, 4, 6, 6, 5;
6, 5, 8, 9, 10, 7;
7, 6, 10, 12, 15, 14, 11;
8, 7, 12, 15, 20, 21, 22, 15;
9, 8, 14, 18, 25, 28, 33, 30, 22;
10, 9, 16, 21, 30, 35, 44, 45, 44, 30;
...

Crossrefs

Cf. A000041, A014153, A140207.

Sequence in context: A342774 A132923 A144329 * A357213 A137948 A210553

Adjacent sequences: A141154 A141155 A141156 * A141158 A141159 A141160

Keyword

nonn,tabl

Author

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

Extensions

a(60) split and more terms from Georg Fischer, May 29 2023

Status

approved