A160039 Numerators of n!*(1 + 1/2 + 1/3 +...+ 1/(n+1))

1, 3, 11, 25, 274, 294, 13068, 13698, 114064, 1062864, 120543840, 123870240, 19802759040, 20247546240, 289277533440, 4420892649600, 1223405590579200, 1243166003251200, 431565146817638400, 437647401838080000

Offset

0,2

Comments

The denominators of n!*(1 + 1/2 + 1/3 +...+ 1/(n+1)) are A014973 with offset 0.

Links

Table of n, a(n) for n=0..19.

Maple

FH := n -> numer(n!*add(1/i, i=1..n+1)); seq(FH(i), i=0..20);

Mathematica

Table[Numerator[n! HarmonicNumber[n+1]], {n, 0, 19}] (* Jean-François Alcover, Jun 17 2019 *)

Crossrefs

Cf. A014973 (denominators).

Sequence in context: A124078 A096795 A362176 * A272296 A051925 A211811

Adjacent sequences: A160036 A160037 A160038 * A160040 A160041 A160042

Keyword

easy,frac,nonn

Author

Peter Luschny, Apr 30 2009

Status

approved