A078823 - OEIS

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A078823

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

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; refs; listen; history; text; internal format)

	OFFSET	`0,3`
	COMMENTS	`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).`
	LINKS	`Reinhard Zumkeller, Table of n, a(n) for n = 0..10000`
	EXAMPLE	`n=10: sum of the A078822(10)=5 binary numbers: a(10) = '0'+'1'+'10'+'101'+'1010' = 0+1+2+5+10 = 18.`
	PROG	`(Haskell)` `a078823 = sum . a119709_row -- Reinhard Zumkeller, Aug 14 2013`
	CROSSREFS	`Cf. A078822, A078825, A007088, A144623, A144624.` `Sequence in context: A033195 A050032 A014602 * A045615 A211220 A051201` `Adjacent sequences: A078820 A078821 A078822 * A078824 A078825 A078826`
	KEYWORD	`nonn,base`
	AUTHOR	`Reinhard Zumkeller, Dec 08 2002`
	STATUS	`approved`

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Last modified September 26 10:21 EDT 2017. Contains 292517 sequences.