id:A063938 - OEIS Search Results

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Numbers n such that n divides tau(n), where tau(n)=A000594(n) is Ramanujan's tau function.

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1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 25, 27, 28, 30, 32, 35, 36, 40, 42, 45, 48, 49, 50, 54, 56, 60, 63, 64, 70, 72, 75, 80, 81, 84, 88, 90, 91, 92, 96, 98, 100, 105, 108, 112, 115, 120, 125, 126, 128, 135, 140, 144, 147, 150, 160, 161, 162, 168 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`Although most small numbers are in the sequence, it becomes sparser for larger values; e.g. only 504 numbers up to 10000 and only 184 numbers from 10001 to 20000 are in the sequence.`
	LINKS	`Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.`
	MATHEMATICA	(* First do <<NumberTheory`Ramanujan` *) test[n_] := Mod[RamanujanTau[n], n]==0; Select[Range[200], test]
	CROSSREFS	`For the sequence when n is prime see A007659. Cf. A063940, A000594, A079334.` `Adjacent sequences: A063935 A063936 A063937 this_sequence A063939 A063940 A063941` `Sequence in context: A080672 A056757 A079333 this_sequence A002473 A161466 A117296`
	KEYWORD	`nonn,easy`
	AUTHOR	`Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 31 2001`
	EXTENSIONS	`More terms from Dean Hickerson (dean.hickerson(AT)yahoo.com), Jan 03 2003`

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Last modified November 9 12:23 EST 2009. Contains 166233 sequences.

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