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A260322 Triangle read by rows: T(n,k) = logarithmic polynomial G_k^(n)(x) evaluated at x=1. 4
1, -1, 2, 2, -6, 6, 0, 24, -24, 24, 9, -80, 60, -120, 120, 35, 450, 240, 360, -720, 720, 230, -2142, -2310, -840, 2520, -5040, 5040, 1624, 17696, 9744, 21840, -6720, 20160, -40320, 40320, 13209, -112464, 91224, -184464, 15120, -60480, 181440, -362880 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Table of n, a(n) for n=1..44.

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

EXAMPLE

Triangle begins:

1,

-1,2,

2,-6,6,

0,24,-24,24,

9,-80,60,-120,120,

35,450,240,360,-720,720,

230,-2142,-2310,-840,2520,-5040,5040,

...

MAPLE

A260322 := proc(n, r)

    if r = 0 then

        1 ;

    elif n > r+1 then

        0 ;

    else

        add( (-1)^(r-j*n)/(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, ", A260322(n, r)) ;

    end do:

    printf("\n") ;

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

CROSSREFS

Rows, column sums give A002741, A002742, A002743, A002744.

Cf. A260323-A260325.

Sequence in context: A306768 A174399 A056881 * A286540 A229980 A184158

Adjacent sequences:  A260319 A260320 A260321 * A260323 A260324 A260325

KEYWORD

sign,tabl

AUTHOR

N. J. A. Sloane, Jul 23 2015

STATUS

approved

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Last modified September 28 02:07 EDT 2020. Contains 337392 sequences. (Running on oeis4.)