id:A065675 - OEIS Search Results

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The exponent of 2 in the fractions of the range ]0,1[ Stern-Brocot tree (A007305/A007306) [1/2, 1/3, 2/3, 1/4, 2/5, 3/5, 3/4, 1/5, 2/7, 3/8, 3/7, 4/7, 5/8, 5/7, 4/5, ...].

+0
4

-1, 0, 1, -2, 1, 0, -2, 0, 1, -3, 0, 2, -3, 0, 2, -1, 1, 0, -1, 2, 0, -2, 2, 0, -2, 3, 0, -1, 3, 0, -1, 0, 1, -1, 0, 2, -1, 0, 2, -1, 0, 3, -1, 0, 3, -4, 0, 1, -4, 0, 1, -1, 0, 2, -1, 0, 2, -1, 0, 1, -1, 0, 1, -3, 1, 0, -4, 2, 0, -1, 2, 0, -1, 3, 0, -3, 3, 0, -4, 1, 0, -1, 1, 0, -1, 2, 0, -1, 2, 0, -1, 1, 0, -2, 1, 0, -2, 1, 0, -1, 1, 0, -1, 1, 0, -1, 1, 0 (list; graph; listen)

	OFFSET	`1,4`
	COMMENT	`The exponent is negative when the denominator (A007306) is even. These occur as every third term.`
	LINKS	`Index entries for sequences related to Stern's sequences`
	MAPLE	`[seq(exp_of_2(SternBrocot0_1frac(j)), j=1..128)];` `SternBrocot0_1frac := proc(n) local m; m := n + 2^floor_log_2(n); SternBrocotTreeNum(m)/SternBrocotTreeDen(m); end;` `exp_of_2 := proc(x) local f, m; f := ifactors(x)[2]; for m in f do if(2 = m[1]) then RETURN(m[2]); fi; od; RETURN(0); end;`
	CROSSREFS	`Cf. A065674, A065676, A065658.` `Sequence in context: A002325 A129134 A133693 this_sequence A127476 A140397 A120614` `Adjacent sequences: A065672 A065673 A065674 this_sequence A065676 A065677 A065678`
	KEYWORD	`sign`
	AUTHOR	`Antti Karttunen Nov 22 2001`

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Last modified November 24 14:25 EST 2009. Contains 167438 sequences.

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