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Search: id:A076340
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| A076340 |
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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. |
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+0
14
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| 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; listen)
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OFFSET
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1,2
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COMMENT
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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.
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EXAMPLE
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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.
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CROSSREFS
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Imaginary part = A076341.
Sequence in context: A023820 A117726 A103228 this_sequence A076345 A139251 A122788
Adjacent sequences: A076337 A076338 A076339 this_sequence A076341 A076342 A076343
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KEYWORD
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nonn
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AUTHOR
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Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Oct 08 2002
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