id:A109641 - OEIS Search Results

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Composite n such that binomial(3n, n) == 3^k (mod n) for some integer k > 0.

+0
3

4, 9, 15, 25, 27, 36, 49, 57, 75, 81, 121, 125, 132, 138, 153, 155, 169, 289, 324, 343, 361, 529, 552, 765, 791, 841, 961 (list; graph; listen)

	OFFSET	`1,1`
	MATHEMATICA	`In[1]:= Do[If[ !PrimeQ[n] && IntegerQ[FullSimplify[Log[Mod[Binomial[3*n, n], n]] / Log[3]]], Print[n]], {n, 1, 10^3}]`
	CROSSREFS	`Cf. A080469, A109642.` `Sequence in context: A004629 A065893 A052116 this_sequence A134675 A050530 A102084` `Adjacent sequences: A109638 A109639 A109640 this_sequence A109642 A109643 A109644`
	KEYWORD	`nonn`
	AUTHOR	`Ryan Propper (rpropper(AT)stanford.edu), Aug 05 2005`

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.