id:A061322 - OEIS Search Results

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a(n) = a(n-1)*(1+a(n-1)/n^2) with a(0)=2.

+0
2

2, 6, 15, 40, 140, 924, 24640, 12415040, 2408343949440, 71606426901226335015040, 51274803735606705472274088614112357905277056, 21728144612603201307908899563300049012978385050783094682272184269369267136230071558272 (list; graph; listen)

	OFFSET	`0,1`
	COMMENT	`Only first 42 terms are integers (see A003504).`
	FORMULA	`a(n+1) =a(n)+A003504(n+1)^2, a(n) =(n+1)*A003504(n+1) =A061314(2, n).`
	EXAMPLE	`a(2)=6*(1+6/2^2)=15.`
	PROGRAM	`(PARI) a(n)=local(x); if(n<1, 2(n==0), (x=a(n-1))+(x/n)^2) / Michael Somos Apr 02 2006 */`
	CROSSREFS	`Adjacent sequences: A061319 A061320 A061321 this_sequence A061323 A061324 A061325` `Sequence in context: A026270 A001654 A062106 this_sequence A004664 A074446 A121328`
	KEYWORD	`nonn`
	AUTHOR	`Henry Bottomley (se16(AT)btinternet.com), Apr 24 2001`

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Last modified May 16 01:24 EDT 2008. Contains 139630 sequences.

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