id:A075777 - OEIS Search Results

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Minimal surface area of a rectangular solid with volume n and integer sides.

+0
3

6, 10, 14, 16, 22, 22, 30, 24, 30, 34, 46, 32, 54, 46, 46, 40, 70, 42, 78, 48, 62, 70, 94, 52, 70, 82, 54, 64, 118, 62, 126, 64, 94, 106, 94, 66, 150, 118, 110, 76, 166, 82, 174, 96, 78, 142, 190, 80, 126, 90, 142, 112, 214, 90, 142, 100, 158, 178, 238, 94, 246, 190 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`To find minimum surface area, let s1_0 = [n^(1/3)]. Find largest integer s1 such that s1 <= s1_0 and s1 \| n. Then let s2_0 = [sqrt(n / s1)]. Find largest integer s2 such that s2 <= s2_0 and s2 \| (n / s1). Then s3 = n / (s1 * s2). And minimum surface area a(n) = 2 * (s1 * s2 + s1 * s3 + s2 * s3).`
	EXAMPLE	`a(12) = 32 because side lengths of 2, 2 and 3 will give volume 12 and surface area 32, which is the minimum surface area.`
	CROSSREFS	`Cf. A135711.` `Sequence in context: A085647 A072901 A162409 this_sequence A167200 A077667 A091577` `Adjacent sequences: A075774 A075775 A075776 this_sequence A075778 A075779 A075780`
	KEYWORD	`easy,nonn`
	AUTHOR	`Robert A. Stump (bee_ess107(AT)msn.com), Oct 09 2002`

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Last modified December 2 11:54 EST 2009. Contains 167921 sequences.

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