A165490 Triangle read by rows, A084938 * A165489 diagonalized as an infinite lower triangular matrix.

1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 6, 5, 6, 6, 0, 24, 16, 18, 24, 23, 0, 120, 64, 62, 84, 115, 105, 0, 720, 312, 252, 312, 460, 630, 550, 0, 5040, 1812, 1212, 1302, 1840, 2835, 3850, 3236, 0, 40320, 12288, 6856, 6240, 7935, 12180, 19250, 25888, 21127

Offset

0,8

Comments

A165490 is an eigentriangle (triangle A084938 * its shifted eigensequence), having two distinct properties: row sums = A165489, the eigensequence of triangle A084938: (1, 1, 2, 6, 23, 105, 550, 3236,...), and sum of row terms = rightmost term of next row.

Links

Table of n, a(n) for n=0..54.

Formula

Triangle read by rows, A084938 * its shifted eigensequence (1, 1, 1, 2, 6, 23,...) diagonalized as an infinite lower triangular matrix:

1;

0, 1;

0, 0, 1;

0, 0, 0, 2;

0, 0, 0, 0, 6;

0, 0, 0, 0, 0, 23;

...

Example

First few rows of the triangle =
1;
0, 1;
0, 1, 1;
0, 2, 2, 2;
0, 6, 5, 6, 6;
0, 24, 16, 18, 24, 23;
0, 120, 64, 62, 84, 115, 105;
0, 720, 312, 252, 312, 460, 630, 550;
0, 5040, 1812, 1212, 1302, 1840, 2835, 3850, 3236;
0, 40320, 12288, 6856, 6240, 7935, 12180, 19250, 25888, 21127;
...
Example: row 4 = (0, 6, 5, 6, 6) = termwise products of (0, 6, 5, 3, 1) and (1, 1, 1, 2, 6); where (0, 6, 5, 3, 1) = row 4 of triangle A084938.

Crossrefs

Cf. A084938, A165489.

Sequence in context: A104241 A011139 A136663 * A298819 A307520 A265648

Adjacent sequences: A165487 A165488 A165489 * A165491 A165492 A165493

Keyword

nonn,tabl

Author

Gary W. Adamson, Sep 20 2009

Status

approved