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Search: id:A061007
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| 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0
(list; graph; listen)
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OFFSET
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1,4
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COMMENT
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The following sequences all appear to have the same parity (with an extra zero term at the start of A010051): A010051, A061007, A035026, A069754, A071574. - Jeremy Gardiner (jeremy.gardiner(AT)btinternet.com), Aug 09, 2002
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FORMULA
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a(4)=2, a(p)=1 for p prime, a(n)=0 otherwise. Apart from n=4, a(n)=A010051(n)=A061006(n)/(n-1).
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EXAMPLE
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a(4)=2 since -(4-1)!=-6=2 mod 4. a(5)=1 since (5-1)!=-24=1 mod 5. a(6)=0 since -(6-1)!=-120=0 mod 6.
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MAPLE
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P=proc(n) local a, i, k, w; print(0); for i from 0 by 1 to n do w:=(i! mod (i+2)); print(w); od; end: P(1000); - Paolo P. Lava (ppl(AT)spl.at), Apr 23 2007
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CROSSREFS
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Positive for all but the first term of A046022. Cf. A000040, A000142, A061006, A061008, A061009.
Sequence in context: A025439 A116852 A060154 this_sequence A085252 A073423 A134023
Adjacent sequences: A061004 A061005 A061006 this_sequence A061008 A061009 A061010
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KEYWORD
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nonn
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), Apr 12 2001
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