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A084885 Triangular array, read by rows: T(n,k) = denominator of arithmetic derivative of n/k, 1<=k<=n. 3
1, 1, 1, 1, 4, 1, 1, 1, 9, 1, 1, 4, 9, 1, 1, 1, 1, 1, 4, 25, 1, 1, 4, 9, 2, 25, 36, 1, 1, 1, 9, 1, 25, 9, 49, 1, 1, 4, 1, 4, 25, 4, 49, 16, 1, 1, 1, 9, 4, 1, 9, 49, 1, 27, 1, 1, 4, 9, 2, 25, 36, 49, 16, 27, 100, 1, 1, 1, 1, 1, 25, 1, 49, 4, 9, 25, 121, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

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

LINKS

Table of n, a(n) for n=1..78.

Eric Weisstein's World of Mathematics, Quotient Rule.

EXAMPLE

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

................... 1 ........ 0

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

........... 4 ..... 1 ...... 8/9 ....... 0

....... 1 ... -3/4 ... -2/9 ...... -1 ...... 0

... 5 ..... 1 ..... 1 ..... -1/4 .... 19/25 .... 0

1 .. -5/4 ... -4/9 ... -3/2 ... -2/25 ... -29/36 ... 0.

CROSSREFS

Numerator=A084884, A084887.

Sequence in context: A274006 A203025 A057521 * A112538 A008477 A303278

Adjacent sequences:  A084882 A084883 A084884 * A084886 A084887 A084888

KEYWORD

nonn,tabl

AUTHOR

Reinhard Zumkeller, Jun 10 2003

STATUS

approved

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Last modified July 9 15:32 EDT 2020. Contains 335543 sequences. (Running on oeis4.)