id:A104120 - OEIS Search Results

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(Prime(n + 1) - Prime(n))/2 (mod 2).

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

	OFFSET	`2,1`
	COMMENT	`Questions: Is s(n) = (1/n) Sum[a(i),{i,2,n+1)] > 1/2 for all n? Does s(n) --> 1/2 ?`
	EXAMPLE	`(Prime(2 + 1) - Prime(2)) (mod 2) = (5 - 3)/2 (mod 2) = 1 mod 2 = 1. So a(1) = 1.`
	MATHEMATICA	`Table[Mod[(Prime[i + 1] - Prime[i])/2, 2], {i, 2, 100}]`
	CROSSREFS	`Cf. A028334.` `Sequence in context: A105470 A087429 A093075 this_sequence A108336 A118268 A136669` `Adjacent sequences: A104117 A104118 A104119 this_sequence A104121 A104122 A104123`
	KEYWORD	`nonn`
	AUTHOR	`Joseph L. Pe (joseph_l_pe(AT)hotmail.com), Mar 06 2005`

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.

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