A072689 - OEIS

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A072689

Difference between (least square >= n) and (largest square <= n).

0, 3, 3, 0, 5, 5, 5, 5, 0, 7, 7, 7, 7, 7, 7, 0, 9, 9, 9, 9, 9, 9, 9, 9, 0, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 0, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 0, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 0, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,2`
	COMMENTS	`a(n)=0 iff n is a square.`
	FORMULA	`a(n) = A057427(n - A048760(n)) * (A000196(A048760(n))*2 + 1).`
	CROSSREFS	`a(n) = A048761(n) - A048760(n).` `Cf. A000290, A072690.` `Sequence in context: A096439 A128046 A102899 * A021972 A193451 A117234` `Adjacent sequences: A072686 A072687 A072688 * A072690 A072691 A072692`
	KEYWORD	`nonn`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jul 02 2002`

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Last modified February 14 16:24 EST 2012. Contains 205635 sequences.