id:A122416 - OEIS Search Results

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Numbers from an irrationality measure for e, with a(1) = 2.

+0
4

2, 3, 4, 5, 6, 4, 8, 5, 7, 6, 12, 5, 14, 8, 6, 7, 18, 7, 20, 6, 8, 12, 24, 5, 11, 14, 10, 8, 30, 6, 32, 9, 12, 18, 8, 7, 38, 20, 14, 6, 42, 8, 44, 12, 7, 24, 48, 7, 15, 11, 18, 14, 54, 10, 12, 8, 20, 30, 60, 6, 62, 32, 8, 9, 14, 12, 68, 18, 24, 8, 72, 7, 74, 38, 11, 20, 12, 14, 80, 7, 10 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`If n > 1, then a(n)! is the smallest factorial such that \|e - m/n\| > 1/a(n)! for any integer m.` `a(n)! is the second smallest factorial divisible by n.`
	REFERENCES	`J. Sondow, A geometric proof that e is irrational and a new measure of its irrationality, Amer. Math. Monthly 113 (2006) 637-641.`
	LINKS	`I ndex entries for sequences related to factorial numbers.`
	FORMULA	`a(n) = A002034(n)+1.`
	EXAMPLE	`a(6) = S(6)+1 = 3+1 = 4.`
	CROSSREFS	`Cf. A001113, A002034, A092495, A122417.` `Sequence in context: A096894 A097751 A070667 this_sequence A134665 A063260 A073793` `Adjacent sequences: A122413 A122414 A122415 this_sequence A122417 A122418 A122419`
	KEYWORD	`nonn`
	AUTHOR	`Jonathan Sondow (jsondow(AT)alumni.princeton.edu), Sep 03 2006`

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

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