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A024337 Expansion of sinh(ln(1+x)).ln(1+x)/2. 0
0, 0, 1, -3, 13, -70, 447, -3297, 27576, -257904, 2667240, -30226680, 372517920, -4960668960, 70986162240, -1086347505600, 17705365171200, -306178316236800, 5599477712102400, -107980208561433600, 2189837602616832000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Table of n, a(n) for n=0..20.

FORMULA

a(n)=((-1)^n*(n!*h(n)+(n-2)!)/4,n>1, where h(n)=sum(1/k,k=1..n) [From Gary Detlefs, Jul 31 2010]

MATHEMATICA

Sinh[ Log[ 1+x ] ]*Log[ 1+x ]/2

CROSSREFS

A009575.

Sequence in context: A192209 A154677 A121586 * A001495 A213690 A182189

Adjacent sequences:  A024334 A024335 A024336 * A024338 A024339 A024340

KEYWORD

sign

AUTHOR

R. H. Hardin

EXTENSIONS

Extended with signs 03/97.

STATUS

approved

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Last modified May 18 19:42 EDT 2013. Contains 225426 sequences.