id:A053803 - OEIS Search Results

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Numbers where the difference of consecutive cubes is "close" to another cube: let A = x^3 - (x-1)^3, sequence is the x's where A - int(A^(1/3))^3 < int(x^(1/2))^3.

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1, 7, 9, 19, 22, 25, 28, 31, 38, 41, 45, 49, 53, 57, 61, 65, 69, 73, 78, 82, 87, 91, 92, 96, 101, 106, 110, 111, 115, 116, 121, 126, 131, 132, 136, 137, 142, 147, 148, 153, 158, 159, 164, 165, 170, 171, 175, 176, 181, 182, 187, 188, 193, 194, 199, 200, 205, 206 (list; graph; listen)

	OFFSET	`1,2`
	EXAMPLE	`a(2)=7 because A = 7^3-6^3 = 127 and the condition 'A - int(A^(1/3))^3 < int(x^(1/2))^3' simplifies to '127 - 5^3 < 2^3' which is true.`
	CROSSREFS	`Sequence in context: A022321 A116484 A138749 this_sequence A032791 A046257 A074343` `Adjacent sequences: A053800 A053801 A053802 this_sequence A053804 A053805 A053806`
	KEYWORD	`nonn`
	AUTHOR	`Joe K. Crump (joecr(AT)carolina.rr.com), Mar 27 2000`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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