A175949 Numbers obtained by concatenation of the binary representation of A175946(n) and A175945(n).

1, 2, 3, 6, 5, 4, 7, 14, 13, 10, 11, 12, 9, 8, 15, 30, 29, 26, 27, 18, 21, 20, 23, 28, 25, 22, 19, 24, 17, 16, 31, 62, 61, 58, 59, 50, 53, 52, 55, 34, 37, 42, 43, 36, 41, 40, 47, 60, 57, 54, 51, 38, 45, 44, 39, 56, 49, 46, 35, 48, 33, 32, 63, 126, 125, 122, 123, 114, 117, 116

Offset

1,2

Comments

The operation as in A175948, but the run-length encoding of zeros (A175946) is placed left from the run-length encoding of ones (A175945).

Links

Table of n, a(n) for n=1..70.

Example

n=9 is 1001 in binary. Run lengths of 0's are 2 (one run of length 2) and of 1's are 11 (two runs each of length 1). The concatenation of these lengths is 211, which is interpreted as 2 one's, 1 zero, 1 one, binary 1101, and recoded decimal as a(9)=8+4+1 =13.

Mathematica

takelist[l_, t_] := Module[{lent, term}, Set[lent, Length[t]]; Table[l[[t[[y]]]], {y, 1, lent}]]
frombinrep[x_] := FromDigits[Flatten[Table[Table[If[OddQ[n], 1, 0], {d, 1, x[[n]]}], {n, 1, Length[x]}]], 2]
binrep[x_] := repcount[IntegerDigits[x, 2]]
onebinrep[x_]:=Module[{b}, b=binrep[x]; takelist[b, Range[1, Length[b], 2]]]
zerobinrep[x_]:=Module[{b}, b=binrep[x]; takelist[b, Range[2, Length[b], 2]]]
Table[frombinrep[Flatten[{zerobinrep[n], onebinrep[n]}]], {n, START, END}]

Crossrefs

Sequence in context: A342102 A284460 A336963 * A166404 A337242 A371343

Adjacent sequences: A175946 A175947 A175948 * A175950 A175951 A175952

Keyword

base,nonn

Author

Dylan Hamilton, Oct 28 2010

Status

approved