login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A084886 Triangular array, read by rows: T(n,k) = numerator of arithmetic derivative of k/n, 1<=k<=n. 3
0, -1, 0, -1, 1, 0, -1, -1, -1, 0, -1, 3, 2, 16, 0, -5, -1, -1, 1, -19, 0, -1, 5, 4, 24, 2, 29, 0, -3, -1, -7, -1, -13, -1, -19, 0, -2, -1, -1, 4, -7, 1, -11, 20, 0, -7, -1, -11, 3, -1, 2, -39, 16, -3, 0, -1, 9, 8, 40, 6, 49, 4, 124, 57, 67, 0, -1, -5, -1, -1, -17, -1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,12

COMMENTS

Arithmetic derivative of k/n = (n*A003415(k)-k*A003415(n))/n^2;

LINKS

Table of n, a(n) for n=1..72.

Eric Weisstein's World of Mathematics, Quotient Rule.

EXAMPLE

............................. 0

....................... -1/4 ..... 0

................ -1/9 ...... 1/9 ...... 0

.... ...... -1/4 ..... -1/4 .... -1/2 ...... 0

.. .. -1/25 .... 3/25 ..... 2/25 ..... 16/25 .... 0

-5/36 ..... -1/9 ..... -1/4 ..... 1/9 .... -19/36 .... 0.

CROSSREFS

Denominator=A084887, A084884, A084890.

Sequence in context: A190961 A126323 A292123 * A275463 A304989 A055864

Adjacent sequences:  A084883 A084884 A084885 * A084887 A084888 A084889

KEYWORD

sign,tabl

AUTHOR

Reinhard Zumkeller, Jun 10 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 August 21 22:32 EDT 2019. Contains 326169 sequences. (Running on oeis4.)