A175950 - OEIS

A175950

A175948(n)-A175949(n).

0, 0, 0, -2, 0, 2, 0, -6, -2, 0, -2, 0, 4, 6, 0, -14, -6, -4, -8, 2, 0, -2, -6, -4, 2, 4, 6, 4, 12, 14, 0, -30, -14, -12, -20, -6, -12, -14, -20, 6, 6, 0, 2, 0, -4, -6, -14, -12, -2, 0, 0, 14, 8, 6, 10, 0, 10, 12, 22, 12, 28, 30, 0, -62, -30, -28, -44, -22, -36, -38, -48, -10, -18

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OFFSET

1,4

COMMENTS

A difference between two ways of encoding-decoding run lengths of 0's and 1's in the binary representation of n.

LINKS

Table of n, a(n) for n=1..73.

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[{onebinrep[n], zerobinrep[n]}]], {n, START, END}]-Table[frombinrep[Flatten[{zerobinrep[n], onebinrep[n]}]], {n, START, END}]

CROSSREFS

Sequence in context: A364558 A364559 A354607 * A339423 A066285 A327873

Adjacent sequences: A175947 A175948 A175949 * A175951 A175952 A175953

KEYWORD

sign,base,less

AUTHOR

Dylan Hamilton, Oct 28 2010

STATUS

approved