id:A076293 - OEIS Search Results

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Numbers where the root mean square (RMS) of a(n) and 7 is an integer, i.e. sqrt((a(n)^2+7^2)/2) is an integer.

+0
4

1, 7, 17, 23, 49, 103, 137, 287, 601, 799, 1673, 3503, 4657, 9751, 20417, 27143, 56833, 118999, 158201, 331247, 693577, 922063, 1930649, 4042463, 5374177, 11252647, 23561201, 31322999, 65585233 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`a(n) = 6a(n-3)-a(n-6) = sqrt(2A076294(n)^2-49) = A076295(n)+A076296(n). a(3n+1) = 7A002315(n).`
	EXAMPLE	`17 is in the sequence since sqrt((17^2+7^2)/2)=13 is an integer.`
	CROSSREFS	`Cf. A002315, A076294, A076295, A076296.` `Adjacent sequences: A076290 A076291 A076292 this_sequence A076294 A076295 A076296` `Sequence in context: A115591 A026349 A057183 this_sequence A072199 A067873 A011537`
	KEYWORD	`nonn`
	AUTHOR	`Henry Bottomley (se16(AT)btinternet.com), Oct 05 2002`

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Last modified October 11 09:12 EDT 2008. Contains 144832 sequences.

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