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A099380 The imaginary part of -n', the arithmetic derivative for Gaussian integers. 6
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, 56, 7, 48, 0, 160, 0, 44, 21, 72, 7, 38, 15, 144, 9, 42, 0, 88, 27, 46, 0, 192, 0, 110, 15, 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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

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

REFERENCES

See A099379

LINKS

T. D. Noe, Table of n, a(n) for n = 0..2048

MATHEMATICA

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

CROSSREFS

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

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

Sequence in context: A212832 A021052 A252852 * A154909 A185348 A321599

Adjacent sequences:  A099377 A099378 A099379 * A099381 A099382 A099383

KEYWORD

nice,nonn

AUTHOR

T. D. Noe, Oct 14 2004

STATUS

approved

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Last modified September 26 13:34 EDT 2021. Contains 347668 sequences. (Running on oeis4.)