id:A061009 - OEIS Search Results

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-2+sum_j (-(n-1)! mod n) over 0<j<=n.

+0
4

-2, -1, 0, 2, 3, 3, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 17, 17, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 20, 20, 21, 21, 21, 21, 21, 21, 22, 22, 22, 22, 23, 23, 23, 23, 23, 23, 24, 24, 24, 24, 24 (list; graph; listen)

	OFFSET	`1,1`
	FORMULA	`a(n) =a(n-1)+A061007(n) =A061008(n)-2. For n>3, a(n)=pi(n)=A000720(n) where pi(n) is the number of primes less than or equal to n.`
	EXAMPLE	`a(6)=3 since -2 + (-1 mod 1) + (-1 mod 2) + (-2 mod 3) + (-6 mod 4) + (-24 mod 5) + (-120 mod 6) = -2+0+1+1+2+1+0 = 3.`
	MAPLE	`P:=proc(n) local a, i, w; a:=-2; print(a); for i from 1 by 1 to n do w:=((i-1)! mod (i+1)); a:=a+w; print(a); od; end: P(1000); - Paolo P. Lava (ppl(AT)spl.at), Apr 23 2007`
	CROSSREFS	`Cf. A000040, A000142, A061006, A061007, A061008.` `Sequence in context: A167749 A104770 A110280 this_sequence A144106 A104558 A115247` `Adjacent sequences: A061006 A061007 A061008 this_sequence A061010 A061011 A061012`
	KEYWORD	`sign`
	AUTHOR	`Henry Bottomley (se16(AT)btinternet.com), Apr 12 2001`

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Last modified December 2 11:54 EST 2009. Contains 167921 sequences.

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