id:A090529 - OEIS Search Results

Search: id:A090529

Displaying 1-1 of 1 results found.

page 1

a(n) = smallest m such that n <= m!.

+0
3

1, 1, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`Define f(n,k) = floor[n/k]. Let f(n,2)= n_2, f(n_2,3) = n_3, ...f(n_r, r+1) = n_(r+1). a(n) = least value of r so that n_r = 0. E.g. a(10) = 4, 10 ->10/1 ->10 ->10/2 ->5 ->5/3 ->1 ->1/4 ->0 in four steps.`
	LINKS	`Yi Yuan and Zhang Wenpeng, On the Mean Value of the Analogue of Smarandache Function.`
	EXAMPLE	`a(4)=3 because 2!< 4 <=3!, a(24)=4 because 3!< 24 <=4!.`
	PROGRAM	`(PARI) a(n)=if(n<0, 0, p=1; while(p!<n, p++); p)`
	CROSSREFS	`Sequence in context: A093493 A087162 A046925 this_sequence A130822 A029120 A078428` `Adjacent sequences: A090526 A090527 A090528 this_sequence A090530 A090531 A090532`
	KEYWORD	`nonn`
	AUTHOR	`Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Dec 07 2003`
	EXTENSIONS	`Better description and more terms from Zhang Wenpeng (wpzhang(AT)nwu.edu.cn), Mar 29 2004`

page 1

Search completed in 0.002 seconds

Last modified December 10 00:48 EST 2009. Contains 170565 sequences.

AT&T Labs Research