OFFSET
1,5
LINKS
J. M. Gandhi, On logarithmic numbers, Math. Student, 31 (1963), 73-83. Gives first 10 rows. [Annotated scanned copy]
EXAMPLE
Triangle begins:
1,
0,1,
1,-2,2,
2,9,-6,6,
9,-28,12,-24,24,
44,185,100,60,-120,120,
265,-846,-690,-120,360,-720,720,
...
MAPLE
A260324 := proc(n, r)
if r = 0 then
1 ;
elif n > r+1 then
0 ;
else
add( (-1)^(r-j*n+1)/(r-j*n+1)!, j=1..(r+1)/n) ;
%*r! ;
end if;
end proc:
for r from 0 to 20 do
for n from 1 to r+1 do
printf("%a, ", A260324(n, r)) ;
end do:
printf("\n") ;
end do: # R. J. Mathar, Jul 24 2015
MATHEMATICA
T[n_, k_] := If[k == 0, 1, If[n > k + 1, 0, k! Sum[(-x)^(k - j n + 1)/(k - j n + 1)!, {j, 1, (k + 1)/n}]]];
Table[T[n, k] /. x -> 1, {k, 0, 9}, {n, 1, k + 1}] // Flatten (* Jean-François Alcover, Mar 30 2020 *)
CROSSREFS
KEYWORD
sign,tabl
AUTHOR
N. J. A. Sloane, Jul 23 2015
STATUS
approved