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A174714 Triangle read by rows, Q*M; Q = an infinite lower triangular matrix with A000726 shifted down thrice, M = triangle A174712, the diagonalized variant of A000041. 6
1, 1, 2, 2, 1, 4, 1, 5, 2, 7, 2, 2, 9, 4, 2, 13, 5, 4, 16, 7, 4, 3, 22, 9, 8, 3, 27, 13, 10, 6, 36, 16, 14, 6, 5, 44, 22, 18, 12, 5, 57, 27, 26, 15, 10 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Refer to comments in A174713.

Row sums = A000041, the partition numbers.

LINKS

Table of n, a(n) for n=0..44.

FORMULA

Let Q = an infinite lower triangular matrix with A000726, (Euler transform of [1,1,0,1,1,0,...]) in each column shifted down thrice from the (k-1)-th column, excepting column 0. Let M = triangle A174712, the diagonalized variant of A000041. Then triangle A174714 = Q*M.

EXAMPLE

First few rows of the triangle =

1;

1;

2;

2, 1;

4, 1;

5, 2;

7, 2, 2;

9, 4, 2;

13, 5, 4;

16, 7, 4, 3;

22, 9, 8, 3;

27, 13, 10, 6;

36, 16, 14, 6, 5;

44, 22, 18, 12, 5;

57, 27, 26, 15, 10;

...

CROSSREFS

Cf. A000041, A000726, A174712, A174713, A174715.

Sequence in context: A325612 A054995 A018219 * A116633 A263232 A134666

Adjacent sequences:  A174711 A174712 A174713 * A174715 A174716 A174717

KEYWORD

nonn,tabf

AUTHOR

Gary W. Adamson, Mar 27 2010

STATUS

approved

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Last modified April 6 12:08 EDT 2020. Contains 333273 sequences. (Running on oeis4.)