id:A061006 - OEIS Search Results

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(n-1)! mod n.

+0
5

0, 1, 2, 2, 4, 0, 6, 0, 0, 0, 10, 0, 12, 0, 0, 0, 16, 0, 18, 0, 0, 0, 22, 0, 0, 0, 0, 0, 28, 0, 30, 0, 0, 0, 0, 0, 36, 0, 0, 0, 40, 0, 42, 0, 0, 0, 46, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 58, 0, 60, 0, 0, 0, 0, 0, 66, 0, 0, 0, 70, 0, 72, 0, 0, 0, 0, 0, 78, 0, 0, 0, 82, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0 (list; graph; listen)

	OFFSET	`1,3`
	FORMULA	`a(4)=2, a(p)=p-1 for p prime, a(n)=0 otherwise. Apart from n=4, a(n)=(n-1)A061007(n)=(n-1)A010051(n).`
	EXAMPLE	`a(4)=2 since (4-1)!=6=2 mod 4. a(5)=4 since (5-1)!=24 =4 mod 5. a(6)=0 since (6-1)!=120=0 mod 4.`
	MAPLE	`P:=proc(n) local a, i, k, w; for i from 1 by 1 to n do w:=((i-1)! mod i); print(w); od; end: P(1000); - Paolo P. Lava (ppl(AT)spl.at), Apr 23 2007`
	CROSSREFS	`Positive for all but the first term of A046022. Cf. A000040, A000142, A061007, A061008, A061009.` `Sequence in context: A129240 A127786 A030207 this_sequence A080736 A113750 A004565` `Adjacent sequences: A061003 A061004 A061005 this_sequence A061007 A061008 A061009`
	KEYWORD	`nonn`
	AUTHOR	`Henry Bottomley (se16(AT)btinternet.com), Apr 12 2001`

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.

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