id:A038197 - OEIS Search Results

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4-wave sequence.

+0
10

1, 1, 1, 1, 2, 3, 4, 7, 9, 10, 19, 26, 30, 56, 75, 85, 160, 216, 246, 462, 622, 707, 1329, 1791, 2037, 3828, 5157, 5864, 11021, 14849, 16886, 31735, 42756, 48620, 91376, 123111, 139997, 263108, 354484, 403104, 757588, 1020696, 1160693, 2181389 (list; graph; listen)

	OFFSET	`0,5`
	LINKS	`F. v. Lamoen, Wave sequences`
	FORMULA	`a(n)=a(n-1)+a(n-2) if n=3m+1, a(n)=a(n-1)+a(n-4) if n=3m+2, a(n)=a(n-1)+a(n-6) if n=3m. Also: a(n)=2a(n-3)+3a(n-6)-a(n-9)-a(n-12).` `G.f.: -(-1-x-x^2+x^3-x^5+x^6)/(1-2x^3-3x^6+x^9+x^12)`
	CROSSREFS	`a(3n) forms A006357. Cf. A038196, A038201.` `Sequence in context: A141748 A057267 A138576 this_sequence A023546 A084913 A117450` `Adjacent sequences: A038194 A038195 A038196 this_sequence A038198 A038199 A038200`
	KEYWORD	`easy,nonn`
	AUTHOR	`Floor van Lamoen (fvlamoen(AT)hotmail.com)`
	EXTENSIONS	`Edited by Floor vnan Lamoen (fvlamoen(AT)hotmail.com), Feb 05 2002`

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.

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