A175910 - OEIS

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A175910

Take the left or right binary concatenation of the numbers 1 to n, whichever is greater, delete digits identical to corresponding digits in the other concatenation, condense the remaining digits, and convert to decimal.

0, 2, 2, 2, 44, 42, 178, 812, 52, 11682, 44585, 52778, 3222, 727657, 15264354, 928184, 60925872, 15976986770, 4166367305, 785545793868, 11730991244, 11804109800746, 41522369301, 3574301245885612, 198659132140236

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

LINKS

Table of n, a(n) for n=1..25.

MATHEMATICA

Module[{l, r, d, ldump, larger, rdump}, l = {}; r = {}; Table[d = IntegerDigits[x, 2]; l = Flatten[{l, d}]; r = Flatten[{d, r}]; If[x > 1, ldump = l; rdump = r; While[First[ldump] == First[rdump], ldump = Rest[ldump]; rdump = Rest[rdump]]; If[First[ldump] == 1, larger = ldump, larger = rdump]; FromDigits[Pick[larger, OddQ[ldump + rdump]], 2], 0], {x, 1, DESIRED_NUMBER_OF_TERMS}]]

CROSSREFS

Cf. A047778, A098780

Sequence in context: A241845 A254131 A339014 * A257662 A075042 A045983

Adjacent sequences: A175907 A175908 A175909 * A175911 A175912 A175913

KEYWORD

base,easy,nonn

AUTHOR

Dylan Hamilton, Oct 14 2010

STATUS

approved