A238683 Reduced numerators of integral of the Stirling numbers of first kind.

1, 0, 1, 0, -1, 1, 0, 1, -1, 1, 0, -3, 11, -3, 1, 0, 12, -50, 35, -2, 1, 0, -60, 274, -225, 17, -5, 1, 0, 360, -588, 406, -147, 175, -3, 1, 0, -2520, 4356, -3283, 6769, -980, 46, -7, 1, 0, 20160, -36528, 29531, -67284, 7483, -648, 273, -4, 1, 0

Offset: 0

Author

Jean-François Alcover and Paul Curtz, Mar 03 2014

Keywords

• sign
• frac

Comments

For the denominators see A238157.

Examples

			Fractions:
1,
0,  1/2,
0, -1/2,  1/3,
0,    1,   -1,  1/4,
0,   -3, 11/3, -3/2, 1/5,
etc.
numerators:
1,
0,  1,
0, -1,   1,
0,  1,  -1,  1,
0, -3,  11, -3,  1,
etc.
		

Crossrefs

Cf. A048994, A238157.

Programs

Mathematica

Table[StirlingS1[n, k]/(k+1) // Numerator, {n, 0, 11}, {k, 0, n}] // Flatten