id:A135576 - OEIS Search Results

Search: id:A135576

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Numbers whose binary expansion has only the digit "1" as first, central and final digit.

+0
7

1, 7, 21, 73, 273, 1057, 4161, 16513, 65793, 262657, 1049601, 4196353, 16781313, 67117057, 268451841, 1073774593, 4295032833, 17180000257, 68719738881, 274878431233, 1099512676353, 4398048608257, 17592190238721 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`This sequence is essentially identical to A001576.` `a(n) is the number whose binary representation is A135577(n), (See example). [From Omar E. Pol (info(AT)polprimos.com), Nov 18 2008]`
	FORMULA	`a(1)=1. If n>1 then a(n)=A001576(n-1)`
	EXAMPLE	`--------------------------------------` `n ........ a(n) ..... a(n) in base 2` `--------------------------------------` `1 .......... 1 ............ 1` `2 .......... 7 ........... 111` `3 ......... 21 .......... 10101` `4 ......... 73 ......... 1001001` `5 ........ 273 ........ 100010001` `6 ....... 1057 ....... 10000100001` `7 ....... 4161 ...... 1000001000001` `8 ...... 16513 ..... 100000010000001` `9 ...... 65793 .... 10000000100000001` `10 .... 262657 ... 1000000001000000001`
	CROSSREFS	`Cf. A001576, A135577.` `Sequence in context: A152671 A113859 A146533 this_sequence A153497 A146247 A147003` `Adjacent sequences: A135573 A135574 A135575 this_sequence A135577 A135578 A135579`
	KEYWORD	`nonn,base`
	AUTHOR	`Omar E. Pol (info(AT)polprimos.com), Feb 24 2008, Dec 27 2008`

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Last modified December 7 08:40 EST 2009. Contains 170430 sequences.

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