id:A072328 - OEIS Search Results

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a(n+1)=2*a(n-2)+a(n-1) a(n)=x^n+y^n+z^n.

+0
1

3, 0, 2, 6, 2, 10, 14, 14, 34, 42, 62, 110, 146, 234, 366, 526, 834, 1258, 1886, 2926, 4402, 6698, 10254, 15502, 23650, 36010, 54654, 83310, 126674, 192618, 293294, 445966, 678530, 1032554, 1570462, 2389614, 3635570, 5530538, 8414798 (list; graph; listen)

	OFFSET	`0,1`
	COMMENT	`With the term indexed as shown, has property that p prime => p divides a(p).`
	FORMULA	`e=-1/2+isqrt(3)/2, e^2=-1/2-isqrt(3)/2 x=(1+sqrt(26/27))^(1/3)+(1-sqrt(26/27))^(1/3) y=e(1+sqrt(26/27))^(1/3)+(e^2)(1-sqrt(26/27))^(1/3) z=(e^2)(1+sqrt(26/27))^(1/3)+e(1-sqrt(26/27))^(1/3) a(n)=x^n+y^n+z^n`
	EXAMPLE	`a(10)=2a(7)+a(8): 62=214+34`
	CROSSREFS	`Cf. A001608.` `Sequence in context: A159959 A058544 A112156 this_sequence A135040 A048733 A011075` `Adjacent sequences: A072325 A072326 A072327 this_sequence A072329 A072330 A072331`
	KEYWORD	`easy,nonn`
	AUTHOR	`M. Kristof (kristmikl(AT)freemail.hu), Jul 15 2002`

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Last modified December 1 19:22 EST 2009. Contains 167811 sequences.

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