id:A166549 - OEIS Search Results

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The number of halving steps of the Collatz 3x+1 map to reach 1 starting from 2n-1.

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0, 5, 4, 11, 13, 10, 7, 12, 9, 14, 6, 11, 16, 70, 13, 67, 18, 10, 15, 23, 69, 20, 12, 66, 17, 17, 9, 71, 22, 22, 14, 68, 19, 19, 11, 65, 73, 11, 16, 24, 16, 70, 8, 21, 21, 59, 13, 67, 75, 18, 18, 56, 26, 64, 72, 45, 10, 23, 15, 23, 61, 31, 69, 31, 77, 20, 20, 28, 58, 28, 12, 66, 74, 74, 17 (list; graph; listen)

	OFFSET	`1,2`
	LINKS	`Index to sequences related to the 3x+1 problem`
	FORMULA	`a(n) = A006577(2n-1)-A075680(n).`
	MAPLE	`A006370 := proc(n) if type(n, 'even') then n/2; else 3n+1 ; end if; end proc:` `A006577 := proc(n) a := 0 ; x := n ; while x > 1 do x := A006370(x) ; a := a+1 ; end do; a ; end proc:` `A006667 := proc(n) a := 0 ; x := n ; while x > 1 do if type(x, 'even') then x := x/2 ; else x := 3x+1 ; a := a+1 ; end if; end do; a ; end proc:` `A075680 := proc(n) A006667(2n-1) ; end proc:` `A166549 := proc(n) A006577(2n-1)-A075680(n) ; end: seq(A166549(n), n=1..120) ; # R. J. Mathar, Oct 18 2009`
	CROSSREFS	`Sequence in context: A051552 A165367 A140869 this_sequence A131875 A095871 A019068` `Adjacent sequences: A166546 A166547 A166548 this_sequence A166550 A166551 A166552`
	KEYWORD	`nonn`
	AUTHOR	`Park, Jimin (123jimin(AT)naver.com), Oct 16 2009`
	EXTENSIONS	`Edited and exteded by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 18 2009`

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.

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