id:A038759 - OEIS Search Results

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

+0
3

0, 1, 2, 2, 4, 6, 6, 6, 6, 9, 12, 12, 12, 12, 12, 12, 16, 20, 20, 20, 20, 20, 20, 20, 20, 25, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 36, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 49, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 64, 72, 72, 72, 72, 72, 72, 72 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`a(n)=n iff n is a square or a pronic (or heteromecic) number of form k(k+1). The sequence interleaves individual squares with 2k copies of each pronic.`
	FORMULA	`a(n) =A003059(n)*A000196(n) =n-A038760(n)`
	EXAMPLE	`a(31)=30 since 6 and 5 are either side of the square root of 31 and 6*5=30`
	CROSSREFS	`Cf. A002378, A053187.` `Sequence in context: A078099 A118960 A107797 this_sequence A045999 A075569 A062722` `Adjacent sequences: A038756 A038757 A038758 this_sequence A038760 A038761 A038762`
	KEYWORD	`nonn`
	AUTHOR	`Henry Bottomley (se16(AT)btinternet.com), May 03 2000`

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

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