id:A129412 - OEIS Search Results

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Numbers n such that mean of 7 consecutive squares starting with n^2 is prime.

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0, 2, 4, 10, 12, 14, 24, 30, 32, 34, 42, 44, 54, 62, 64, 70, 82, 84, 92, 94, 100, 112, 114, 122, 132, 134, 144, 152, 160, 164, 174, 180, 190, 200, 204, 212, 214, 230, 232, 240, 242, 250, 252, 262, 264, 272, 274, 284, 290, 300, 304, 310, 314, 344, 354, 370, 372 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`Sum of 7 consecutive squares starting with n^2 is equal to 7(13 + 6n + n^2) and mean is (13 + 6*n + n^2)=(n+3)^2+4. Hence a(n)=A007591(n+1)-3`
	EXAMPLE	`(0^2+...+6^2)/7=13 prime, (2^2+...+8^2)/7=29 prime, (4^2+...+10^2)/7=53 prime.`
	CROSSREFS	`Cf. A005473, A056899, A067201, A007591, A129389, A129413.` `Adjacent sequences: A129409 A129410 A129411 this_sequence A129413 A129414 A129415` `Sequence in context: A029984 A101519 A138940 this_sequence A121926 A113536 A081887`
	KEYWORD	`nonn`
	AUTHOR	`Zak Seidov (zakseidov(AT)gmail.com), Apr 14 2007`

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Last modified May 16 23:01 EDT 2008. Contains 139884 sequences.

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