A076346 A076341(A000961(n)), imaginary part of prime powers mapped as defined in A076340, A076341.

0, 0, -1, 0, 1, -1, 0, -8, -1, 1, 0, 1, -1, -1, 8, -47, 1, -1, 0, 1, 1, -1, -1, -16, 1, -1, 1, 0, -1, -1, 1, -1, -240, -1, 1, 1, 1, -1, -1, 1, 1, -24, 47, -1, 0, -1, 1, -1, 1, -1, 1, -1, -1, 24, 1, -1, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, -1, 1, -1121, -1, 0, 1, -1, 1, -1, 1, 1, -1, 32, 1, -1

Offset

1,8

Links

Table of n, a(n) for n=1..81.

Example

Applying the map as defined in A076340, A076341:
A000961(16)=27=3*3*3=(4-1)*(4-1)*(4-1) -> (4,-1)*(4,-1)*(4,-1) = (4*4-1,-8)*(4,-1) = (4*15-8,-32-15) = (52,-47), therefore a(16)=-47 and A076345(16)=52.

Crossrefs

Real part = A076345, A070750.

Sequence in context: A095893 A095886 A325222 * A199461 A366126 A056191

Adjacent sequences: A076343 A076344 A076345 * A076347 A076348 A076349

Keyword

sign

Author

Reinhard Zumkeller, Oct 08 2002

Status

approved