login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A081051 Stirling numbers of the first kind. 2
0, 0, 1, -6, 35, -225, 1624, -13132, 118124, -1172700, 12753576, -150917976, 1931559552, -26596717056, 392156797824, -6165817614720, 102992244837120, -1821602444624640, 34012249593822720, -668609730341153280, 13803759753640704000, -298631902863216384000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

Coefficient of x^3 in Product {k=0..(n-1), x-k}.

LINKS

Table of n, a(n) for n=0..21.

FORMULA

E.g.f. (1+x)^(-1)*log(1+x)^2/2

a(n) = (-1)^n*det(S(i+3,j+2), 1 <= i,j <= n-2), where S(n,k) are Stirling numbers of the second kind and n>1. [Mircea Merca, Apr 06 2013]

CROSSREFS

Cf. A000399, A008275.

Sequence in context: A317409 A213452 A000399 * A145145 A289383 A249476

Adjacent sequences:  A081048 A081049 A081050 * A081052 A081053 A081054

KEYWORD

easy,sign

AUTHOR

Paul Barry, Mar 05 2003

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified February 26 04:47 EST 2020. Contains 332276 sequences. (Running on oeis4.)