A084886 - OEIS

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A084886

Triangular array, read by rows: T(n,k) = numerator of arithmetic derivative of k/n, 1<=k<=n.

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