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A161364 Triangle read by rows, modified version of A161363; row sums = A000041 4
1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 4, 1, 0, 0, 0, 3, 2, 2, 0, 0, 0, 7, 2, 2, 0, 0, 0, 0, 7, 3, 2, 3, 0, 0, 0, 0, 12, 3, 4, 3, 0, 0, 0, 0, 0, 13, 5, 4, 3, 5, 0, 0, 0, 0, 0, 22, 6, 6, 3, 5, 0, 0, 0, 0, 0, 0, 2, 5, 7, 6, 6, 5, 7, 0, 0, 0, 0, 0, 0, 4, 9, 8, 6, 5, 7, 0, 0, 0, 0, 0, 0, 0 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

Row sums = A000041, the partition numbers.

LINKS

Table of n, a(n) for n=0..91.

FORMULA

Given triangle A161363, (the inverse of partition triangle A026794); multiply by (-1), delete right border of 1's, and shift down 1 row inserting a "1" at T(0,0); = triangle M. Let Q = an infinite lower triangular matrix with A000041 as the right border and the rest zeros. Triangle A161364 = M * Q.

EXAMPLE

First few rows of the triangle =

1;

1, 0;

2, 0, 0;

2, 1, 0, 0;

4, 1, 0, 0, 0;

3, 2, 2, 0, 0, 0;

7, 2, 2, 0, 0, 0, 0;

7, 3, 2, 3, 0, 0, 0, 0;

12, 3, 4, 3, 0, 0, 0, 0, 0;

13, 5, 4, 3, 5, 0, 0, 0, 0, 0;

22, 6, 6, 3, 5, 0, 0, 0, 0, 0, 0;

25, 7, 6, 6, 5, 7, 0, 0, 0, 0, 0, 0;

42, 9, 8, 6, 5, 7, 0, 0, 0, 0, 0, 0, 0;

48, 13, 8, 9, 5, 7, 11, 0, 0, 0, 0, 0, 0, 0;

...

CROSSREFS

A161363, A000041

Sequence in context: A170978 A238353 A238354 * A143620 A291529 A236417

Adjacent sequences:  A161361 A161362 A161363 * A161365 A161366 A161367

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, Jun 07 2009

STATUS

approved

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Last modified August 10 08:44 EDT 2020. Contains 336369 sequences. (Running on oeis4.)