id:A094906 - OEIS Search Results

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Numbers n such that n^3-k^3 is a square for some k<n.

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1, 4, 8, 9, 10, 14, 16, 25, 28, 32, 33, 36, 40, 49, 56, 57, 64, 65, 71, 72, 74, 78, 81, 90, 100, 105, 112, 114, 121, 126, 128, 130, 132, 140, 144, 148, 154, 155, 160, 169, 176, 193, 196, 200, 217, 218, 224, 225, 228, 250, 252, 256, 260, 266, 273, 280, 284, 288 (list; graph; listen)

	OFFSET	`1,2`
	FORMULA	`a(n) seems to be asymptotic to c*n^(3/2) where c=0.49....`
	EXAMPLE	`8^3-7^3=13^2 hence 8 is in the sequence.`
	PROGRAM	`(PARI) for(n=1, 420, if(sum(i=0, n-1, issquare(n^3-i^3))>0, print1(n, ", ")))`
	CROSSREFS	`Adjacent sequences: A094903 A094904 A094905 this_sequence A094907 A094908 A094909` `Sequence in context: A096529 A080970 A125493 this_sequence A078542 A124982 A073042`
	KEYWORD	`nonn`
	AUTHOR	`Benoit Cloitre (benoit7848c(AT)orange.fr), Jun 16 2004`

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Last modified October 13 09:05 EDT 2008. Contains 145008 sequences.

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