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A260323 Triangle read by rows: T(n,k) = logarithmic polynomial G_k^(n)(x) evaluated at x=-1. 2
1, 3, 2, 8, 6, 6, 24, 24, 24, 24, 89, 80, 60, 120, 120, 415, 450, 480, 360, 720, 720, 2372, 2142, 2730, 840, 2520, 5040, 5040, 16072, 17696, 10416, 21840, 6720, 20160, 40320, 40320, 125673, 112464, 151704, 184464, 15120, 60480, 181440, 362880, 362880 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..45.

J. M. Gandhi, On logarithmic numbers, Math. Student, 31 (1963), 73-83. Gives first 10 rows. [Annotated scanned copy]

EXAMPLE

Triangle begins:

1,

3,2,

8,6,6,

24,24,24,24,

89,80,60,120,120,

415,450,480,360,720,720,

2372,2142,2730,840,2520,5040,5040,

...

MAPLE

A260323 := proc(n, r)

    if r = 0 then

        1 ;

    elif n > r+1 then

        0 ;

    else

        add( 1/(r-j*n)!/j, j=1..(r)/n) ;

        %*r! ;

    end if;

end proc:

for r from 1 to 20 do

    for n from 1 to r do

        printf("%a, ", A260323(n, r)) ;

    end do:

    printf("\n") ;

end do: # R. J. Mathar, Jul 24 2015

CROSSREFS

Rows, column sums give A002104, A002742, A002745, A002746.

Cf. A260322-A260325.

Sequence in context: A071654 A072657 A098163 * A072112 A071658 A089860

Adjacent sequences:  A260320 A260321 A260322 * A260324 A260325 A260326

KEYWORD

sign,tabl

AUTHOR

N. J. A. Sloane, Jul 23 2015

STATUS

approved

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Last modified January 19 14:53 EST 2020. Contains 331049 sequences. (Running on oeis4.)