id:A053864 - OEIS Search Results

Search: id:A053864

Displaying 1-1 of 1 results found.

page 1

Mobius (or Moebius) function of order 2, mu_2(n).

+0
3

1, 1, 1, -1, 1, 1, 1, 0, -1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, -1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, -1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1 (list; graph; listen)

	OFFSET	`1,1`
	REFERENCES	`T. M. Apostol, Introduction to Analytic Number Theory, Springer-Verlag, 1976, page 50.`
	MAPLE	`with(numtheory); k := 2; A053864 := proc(n, k) local t1, t2, i; t1 := 1; if n=1 then RETURN(t1); fi; t2 := factorset(n); for i in t2 do if n mod i^(k+1) = 0 then RETURN(0); fi; od; for i in t2 do if n mod i^k <> 0 then RETURN(1); else t1 := -t1; fi; od; t1; end;`
	CROSSREFS	`Cf. A008683, A053865, A053981.` `Sequence in context: A118111 A119981 A115789 this_sequence A129667 A071374 A077010` `Adjacent sequences: A053861 A053862 A053863 this_sequence A053865 A053866 A053867`
	KEYWORD	`sign`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com), Apr 08 2000`

page 1

Search completed in 0.002 seconds

Last modified December 16 17:18 EST 2009. Contains 170825 sequences.

AT&T Labs Research