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A168534 Triangle read by rows, A168532 * A000012; as infinite lower triangular matrices. 2
1, 2, 1, 3, 1, 1, 5, 2, 1, 1, 7, 1, 1, 1, 1, 11, 4, 2, 1, 1, 1, 15, 1, 1, 1, 1, 1, 1, 22, 5, 2, 2, 1, 1, 1, 1, 30, 3, 3, 1, 1, 1, 1, 1, 1, 42, 8, 2, 2, 2, 1, 1, 1, 1, 1, 56, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 77, 14, 7, 4, 2, 2, 1, 1, 1, 1, 1, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Row sums = A078392: (1, 3, 5, 9, 11, 20, 21,...).

Triangle A168533 = A000012 * A168532

Left border = the partition numbers, A000041 starting with offset 1.

LINKS

Table of n, a(n) for n=1..78.

FORMULA

Triangle read by rows, A168532 * A000012; where A000012 = an infinite lower

triangular matrix with all 1's. The operation takes partial row sums

starting from the right of each row.

EXAMPLE

First few rows of the triangle =

1;

2, 1;

3, 1, 1;

5, 2, 1, 1;

7, 1, 1, 1, 1;

11, 4, 2, 1, 1, 1;

15, 1, 1, 1, 1, 1, 1;

22, 5, 2, 2, 1, 1, 1, 1;

30, 3, 3, 1, 1, 1, 1, 1, 1;

42, 8, 2, 2, 2, 1, 1, 1, 1, 1;

56, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1;

77, 14, 7, 4, 2, 2, 1, 1, 1, 1, 1, 1;

101, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1;

135, 16, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1;

176, 9, 9, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1

231, 22, 5, 5, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1;

...

CROSSREFS

Cf. A168532, A168533, A000041, A078392

Sequence in context: A178623 A210765 A160183 * A026807 A338440 A179045

Adjacent sequences:  A168531 A168532 A168533 * A168535 A168536 A168537

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, Nov 28 2009

STATUS

approved

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Last modified November 30 10:56 EST 2021. Contains 349419 sequences. (Running on oeis4.)