A038760 - OEIS

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A038760

n - ceiling[sqrt(n)] * floor[sqrt(n)].

0, 0, 0, 1, 0, -1, 0, 1, 2, 0, -2, -1, 0, 1, 2, 3, 0, -3, -2, -1, 0, 1, 2, 3, 4, 0, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 0, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 0, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 0, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 0, -8, -7, -6, -5, -4 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,9`
	FORMULA	`a(n) =n-A003059(n)*A000196(n) =n-A038759(n)`
	EXAMPLE	`a(31)=1 since 6 and 5 are either side of the square root of 31 and 31-6*5=1`
	MATHEMATICA	`f[n_]:=n-Floor[Sqrt[n]]*Ceiling[Sqrt[n]]; Table[f[n], {n, 0, 5!}] [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Mar 29 2010]`
	CROSSREFS	`Cf. A053188.` `Sequence in context: A036580 A101674 A100820 * A143946 A035394 A067167` `Adjacent sequences: A038757 A038758 A038759 * A038761 A038762 A038763`
	KEYWORD	`sign`
	AUTHOR	`Henry Bottomley (se16(AT)btinternet.com), May 03 2000`

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Last modified February 15 05:45 EST 2012. Contains 205694 sequences.