id:A159780 - OEIS Search Results

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Inner product of the binary representation of n and its reverse.

+0
1

0, 1, 0, 2, 0, 2, 1, 3, 0, 2, 0, 2, 0, 2, 2, 4, 0, 2, 0, 2, 1, 3, 1, 3, 0, 2, 2, 4, 1, 3, 3, 5, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 4, 2, 4, 0, 2, 2, 4, 0, 2, 2, 4, 0, 2, 2, 4, 2, 4, 4, 6, 0, 2, 0, 2, 0, 2, 0, 2, 1, 3, 1, 3, 1, 3, 1, 3, 0, 2, 0, 2, 2, 4, 2, 4, 1, 3, 1, 3, 3, 5, 3, 5, 0, 2, 2, 4, 0, 2, 2, 4, 1 (list; graph; listen)

	OFFSET	`0,4`
	COMMENT	`a(n) counts the number of 1's that coincide in the binary representation of n and its reverse. For the n in A140900, we have a(n)=0. The number k first appears at n=2^k-1.`
	EXAMPLE	`14 is represented by the binary vector (1,1,1,0). The reverse is (0,1,1,1). The inner product is 10+11+11+01 = 2. Hence a(14) = 2.`
	MATHEMATICA	`Table[d=IntegerDigits[n, 2]; d.Reverse[d], {n, 0, 1023}]`
	CROSSREFS	`Sequence in context: A125942 A061986 A127185 this_sequence A055136 A074397 A082023` `Adjacent sequences: A159777 A159778 A159779 this_sequence A159781 A159782 A159783`
	KEYWORD	`nonn`
	AUTHOR	`T. D. Noe (noe(AT)sspectra.com), Apr 22 2009`

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Last modified December 5 23:38 EST 2009. Contains 170428 sequences.

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