id:A078823 - OEIS Search Results

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Sum of distinct binary numbers contained as substrings in binary representation of n.

+0
5

0, 1, 3, 4, 7, 8, 12, 11, 15, 16, 18, 22, 28, 30, 33, 26, 31, 32, 34, 38, 42, 39, 50, 52, 60, 62, 66, 68, 77, 80, 78, 57, 63, 64, 66, 70, 70, 76, 82, 84, 90, 92, 81, 96, 110, 108, 118, 114, 124, 126, 130, 132, 142, 140, 144, 153, 165, 168, 174, 177, 182, 186, 171, 120 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`a(2^k-1)=2^(k+1)-(k+2); a(2^k)=2^(k+1)-1;` `for k>0: a(2^k+1)=2^(k+1);` `a(2^k-1)=A078825(2^k-1), a(2^k)=A078825(2^k).`
	EXAMPLE	`n=10: sum of the A078822(10)=5 binary numbers: a(10) = '0'+'1'+'10'+'101'+'1010' = 0+1+2+5+10 = 18.`
	CROSSREFS	`Cf. A078822, A078825, A007088, A144623, A144624.` `Sequence in context: A107819 A050032 A014602 this_sequence A045615 A051201 A026449` `Adjacent sequences: A078820 A078821 A078822 this_sequence A078824 A078825 A078826`
	KEYWORD	`nonn,base`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Dec 08 2002`

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

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