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A238683 Reduced numerators of integral of the Stirling numbers of first kind. 0
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,12

COMMENTS

For the denominators see A238157.

LINKS

Table of n, a(n) for n=0..55.

EXAMPLE

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.

MATHEMATICA

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

CROSSREFS

Cf. A048994, A238157.

Sequence in context: A110123 A110221 A244237 * A303114 A170856 A176781

Adjacent sequences:  A238680 A238681 A238682 * A238684 A238685 A238686

KEYWORD

sign,frac

AUTHOR

Jean-Fran├žois Alcover and Paul Curtz, Mar 03 2014

STATUS

approved

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Last modified April 20 20:26 EDT 2021. Contains 343137 sequences. (Running on oeis4.)