

A165490


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


3



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
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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



