|
| |
|
|
A076341
|
|
Imaginary part of the function defined multiplicatively on the complex numbers by 2->(2,0) and p->((floor(p/4)+floor((p mod 4)/2))*4,2-(p mod 4)) for odd primes p.
|
|
13
| |
|
|
0, 0, -1, 0, 1, -2, -1, 0, -8, 2, -1, -4, 1, -2, 0, 0, 1, -16, -1, 4, -12, -2, -1, -8, 8, 2, -47, -4, 1, 0, -1, 0, -16, 2, 4, -32, 1, -2, -8, 8, 1, -24, -1, -4, -17, -2, -1, -16, -16, 16, -12, 4, 1, -94, 8, -8, -24, 2, -1, 0, 1, -2, -79, 0, 16, -32, -1, 4, -28, 8, -1, -64, 1, 2, 17, -4
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,6
|
|
|
COMMENTS
| a(A000040(n))=A070750(n); a(A001358(n))=A076344(n); a(A000961(n))=A076346(n); a(A005117(n))=A076348(n); a(A000290(n))=A076350(n);
a(A076351(n))=0.
|
|
|
EXAMPLE
| n=21: 21 = 3*7 = (4-1)*(8-1) = (4,-1)*(8,-1) -> (32-(-1)*(-1),-4+(-8)) = (31,-12), therefore a(21)=-12, A076340(21)=31;
n=35: 35 = 5*7 = (4+1)*(8-1) = (4,1)*(8,-1) -> (32-1*(-1),-4+8) = (33,4), therefore a(35)=4, A076340(35)=33.
|
|
|
CROSSREFS
| Real part = A076340.
Sequence in context: A188835 A075615 A195284 * A110510 A051122 A202817
Adjacent sequences: A076338 A076339 A076340 * A076342 A076343 A076344
|
|
|
KEYWORD
| sign
|
|
|
AUTHOR
| Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Oct 08 2002
|
| |
|
|
