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A144107 Eigentriangle, row sums = n! 2
1, 1, 1, 3, 1, 2, 13, 3, 2, 6, 71, 13, 6, 6, 24, 461, 71, 26, 18, 24, 120, 3447, 461, 142, 78, 72, 120, 720, 29093, 3447, 922, 426, 312, 360, 720, 5040 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

Sum of n-th row terms = rightmost term of next row.

Left border = A003319.

LINKS

Table of n, a(n) for n=1..36.

FORMULA

Eigentriangle by rows, T(n,k) = A003319(n-k+1)*((n-1)!).

Given an infinite lower triangular matrix with A003319 in every column: (1, 1, 3, 13, 71,...); we apply termwise products of row terms to an equal number of

terms in the factorial sequence: (1, 1, 2, 6, 24,...).

EXAMPLE

First few rows of the triangle =

1;

1, 1;

3, 1, 2;

13, 3, 2, 6;

71, 13, 6, 6, 24;

461, 71, 26, 18, 24, 120;

3447, 461, 142, 78, 72, 120, 720;

29093, 3447, 922, 426, 312, 360, 720, 5040;

...

Example: Row 4 = (13, 3, 2, 6) = termwise products of (13, 3, 1, 1) and (1, 1, 2, 6) = (13*1, 3*1, 1*2, 1*6); where (13, 3, 1, 1) = the first 4 terms of A003319, reversed. [Line corrected by Brad Fox, Sep 15 2008]

CROSSREFS

Cf. A000142, A003319.

Sequence in context: A004468 A254630 A145463 * A199647 A199149 A198669

Adjacent sequences:  A144104 A144105 A144106 * A144108 A144109 A144110

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, Sep 11 2008

STATUS

approved

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Last modified February 22 18:27 EST 2018. Contains 299469 sequences. (Running on oeis4.)