id:A055989 - OEIS Search Results

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a(n) is its own 4th difference.

+0
4

1, 3, 10, 36, 131, 476, 1728, 6272, 22765, 82629, 299915, 1088589, 3951206, 14341527, 52054840, 188941273, 685792227, 2489191330, 9034913540, 32793647355, 119029728628, 432037221840, 1568147413312, 5691839002677 (list; graph; listen)

	OFFSET	`1,2`
	FORMULA	`a(n)=5a(n-1)-6a(n-2)+4a(n-3)-a(n-4) =a(n-1)+A055988(n) =A055990(n)-A055990(n-1) =A055991(n)-2*A055991(n-1)+A055991(n-2)`
	CROSSREFS	`Cf. A055988, A055990, A055991 for the other differences of a(n). See A000079, A001906, A052529 for examples of sequences which are respectively their own first, second, and third differences.` `Adjacent sequences: A055986 A055987 A055988 this_sequence A055990 A055991 A055992` `Sequence in context: A075316 A047122 A047107 this_sequence A102871 A119374 A126188`
	KEYWORD	`nonn`
	AUTHOR	`Henry Bottomley (se16(AT)btinternet.com), Jun 02 2000`
	EXTENSIONS	`More terms from James A. Sellers (sellersj(AT)math.psu.edu), Jun 05 2000`

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Last modified October 12 15:26 EDT 2008. Contains 144830 sequences.

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