OFFSET
1,5
COMMENTS
The number of terms in the n-th row is the number of divisors of n. The n-th row is (apart from sign) a subsequence of the column labeled "M_1" for n-1 in Abramowitz and Stegun, Handbook, p. 831.
EXAMPLE
The array starts with
[1] 1,
[2] 1, -1,
[3] 1, 2,
[4] 1, -3, -6,
[5] 1, 24,
[6] 1, -10, 30, -120,
[7] 1, 720,
[8] 1, -35, -630, -5040,
[9] 1, 560, 40320,
MAPLE
A182928_row := proc(n) local d;
seq(-n!/(d*(-(n/d)!)^d), d = numtheory[divisors](n)) end:
MATHEMATICA
row[n_] := Table[ -n!/(d*(-(n/d)!)^d), {d, Divisors[n]}]; Table[row[n], {n, 1, 14}] // Flatten (* Jean-François Alcover, Jul 29 2013 *)
CROSSREFS
KEYWORD
sign,tabf
AUTHOR
Peter Luschny, Apr 13 2011
STATUS
approved