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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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified October 16 03:37 EDT 2019. Contains 328040 sequences. (Running on oeis4.)