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A099380 The imaginary part of -n', the arithmetic derivative for Gaussian integers. 7

%I #15 Jul 09 2017 17:56:44

%S 0,0,2,0,8,3,6,0,24,0,16,0,24,5,14,9,64,5,18,0,52,0,22,0,72,30,36,0,

%T 56,7,48,0,160,0,44,21,72,7,38,15,144,9,42,0,88,27,46,0,192,0,110,15,

%U 124,9,54,33,168,0,72,0,156,11,62,0,384,64,66,0,156,0,112,0,216,11,88,90,152

%N The imaginary part of -n', the arithmetic derivative for Gaussian integers.

%C a(n) is zero when n is 0, 1, or the product of Gaussian primes (A002145).

%D See A099379

%H T. D. Noe, <a href="/A099380/b099380.txt">Table of n, a(n) for n = 0..2048</a>

%t (* see A099379 for the definition of the di function *) Im[Table[ -di[n], {n, 0, 100}]]

%Y Cf. A003415 (arithmetic derivative of n), A099379 (real part of the Gaussian-integer derivative of n).

%Y Cf. A218854, A218855 (triangles of derivatives of Gaussian integers).

%K nice,nonn

%O 0,3

%A _T. D. Noe_, Oct 14 2004

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Last modified July 13 15:08 EDT 2024. Contains 374284 sequences. (Running on oeis4.)