id:A092431 - OEIS Search Results

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Numbers having in binary representation a leading 1 followed by n zeros and n-1 ones.

+0
1

2, 9, 35, 135, 527, 2079, 8255, 32895, 131327, 524799, 2098175, 8390655, 33558527, 134225919, 536887295, 2147516415, 8590000127, 34359869439, 137439215615, 549756338175, 2199024304127, 8796095119359 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`a(n+1) = 2*a(n) + 4^n + 1;` `Smallest numbers having in binary representation n 0's and n 1's:` `a(n) = Min{m: A023416(m)=A000120(m)=n};` `subsequence of A031443.` `a(n) = A007582(n)-1 = A056326(2n+1) = A005367(n-1)/2 = A063376(n)/2-1 = A032125(n+1)/3-1 = A056309(2n+1)/2 = A028403(n+1)/4-1 = (A001576(n)-3)/2 = (A028400(n+1)-9)/8 = sum(k=2,n+1, A049775(k)) - R. Stephan, Mar 24 2004`
	LINKS	`Eric Weisstein's World of Mathematics, Binary`
	FORMULA	`a(n) = 2^(2*n-1) + 2^(n-1) - 1.`
	CROSSREFS	`Cf. A007088, A001700.` `Sequence in context: A032601 A083141 A001571 this_sequence A077837 A110224 A086556` `Adjacent sequences: A092428 A092429 A092430 this_sequence A092432 A092433 A092434`
	KEYWORD	`nonn`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Mar 23 2004`

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.

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