A258057 First differences of the arithmetic derivative sequence A003415.

0, 1, 0, 3, -3, 4, -4, 11, -6, 1, -6, 15, -15, 8, -1, 24, -31, 20, -20, 23, -14, 3, -12, 43, -34, 5, 12, 5, -31, 30, -30, 79, -66, 5, -7, 48, -59, 20, -5, 52, -67, 40, -40, 47, -9, -14, -24, 111, -98, 31, -25, 36, -55, 80, -65, 76, -70, 9, -30, 91, -91, 32, 18

Offset: 0

Author

Alois P. Heinz, Jun 08 2015

Keywords

• sign
• look

Comments

|a(A258765(n))| = n and |a(m)| != n for m < A258765(n). - Reinhard Zumkeller, Jun 10 2015

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..10000

Crossrefs

Cf. A003415.

Cf. A258765.

Programs

Haskell

a258057 n = a258057_list !! n
a258057_list = zipWith (-) (tail a003415_list) a003415_list
-- Reinhard Zumkeller, Jun 10 2015

Maple

d:= n-> n*add(i[2]/i[1], i=ifactors(n)[2]):
a:= n-> d(n+1)-d(n):
seq(a(n), n=0..105);

Formula

a(n) = A003415(n+1) - A003415(n).