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A076340 Real 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
1, 2, 4, 4, 4, 8, 8, 8, 15, 8, 12, 16, 12, 16, 17, 16, 16, 30, 20, 16, 31, 24, 24, 32, 15, 24, 52, 32, 28, 34, 32, 32, 47, 32, 33, 60, 36, 40, 49, 32, 40, 62, 44, 48, 68, 48, 48, 64, 63, 30, 65, 48, 52, 104, 49, 64, 79, 56, 60, 68, 60, 64, 112, 64, 47, 94, 68, 64, 95, 66, 72 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

a(A000040(n))=A076342(n); a(A001358(n))=A076343(n); a(A000961(n))=A076345(n); a(A005117(n))=A076347(n); a(A000290(n))=A076349(n);

a(n)>0 for n<2187=3^7, a(2187)=-5816, A076341(2187)=-20047.

LINKS

Table of n, a(n) for n=1..71.

EXAMPLE

n=21: 21 = 3*7 = (4-1)*(8-1) = (4,-1)*(8,-1) -> (32-(-1)*(-1),-4+(-8)) = (31,-12), therefore a(21)=31, A076341(21)=-12;

n=35: 35 = 5*7 = (4+1)*(8-1) = (4,1)*(8,-1) -> (32-1*(-1),-4+8) = (33,4), therefore a(35)=33, A076341(35)=4.

CROSSREFS

Imaginary part = A076341.

Sequence in context: A172307 A108039 A103228 * A076345 A231349 A170893

Adjacent sequences:  A076337 A076338 A076339 * A076341 A076342 A076343

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Oct 08 2002

STATUS

approved

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Last modified August 21 06:02 EDT 2019. Contains 326162 sequences. (Running on oeis4.)