

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
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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 (k1)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



