id:A055990 - OEIS Search Results

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a(n) is its own 4th difference.

+0
4

1, 4, 14, 50, 181, 657, 2385, 8657, 31422, 114051, 413966, 1502555, 5453761, 19795288, 71850128, 260791401, 946583628, 3435774958, 12470688498, 45264335853, 164294064481, 596331286321, 2164478699633, 7856317702310 (list; graph; listen)

	OFFSET	`1,2`
	FORMULA	`a(n)=5a(n-1)-6a(n-2)+4a(n-3)-a(n-4) =a(n-1)+A055989(n) =A055991(n)-A055991(n-1) =A055988(n+1)-2*A055988(n)+A055988(n-1)`
	CROSSREFS	`Cf. A055988, A055989, 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.` `Sequence in context: A153367 A047008 A047065 this_sequence A087945 A051924 A076024` `Adjacent sequences: A055987 A055988 A055989 this_sequence A055991 A055992 A055993`
	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 November 25 20:09 EST 2009. Contains 167514 sequences.

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