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A182510 a(0)=0, a(1)=1, a(n)=(a(n-1) XOR n) - a(n-2). 1
0, 1, 3, -1, -8, -2, 0, 9, 1, -1, -12, 0, 24, 21, 3, -9, -28, -2, 8, 29, 1, -9, -32, 0, 56, 33, 3, -9, -24, -2, -8, -23, -47, 7, 84, 112, 0, -75, -109, -1, 68, 110, 0, -67, -111, -1, 64, 112, 0, -63, -13, -1, -40, -18, 0, 73, 113, -1, -172, -144, -8, 85, 115 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Conjectures: the sequence contains 8 zeros, and more positive terms than negative.

LINKS

Charles R Greathouse IV, Table of n, a(n) for n = 0..10000

FORMULA

a(0)=0, a(1)=1, a(n)=(a(n-1) XOR n) - a(n-2), where XOR is the bitwise exclusive-or operator.

PROG

(Python)

prpr = 0

prev = 1

for n in range(2, 99):

  current = (prev ^ n) - prpr

  print prpr,

  prpr = prev

  prev = current

(PARI) v=vector(100); v[1]=0; v[2]=1; for(i=3, #v, v[i]=bitxor(v[i-1], i-1)-v[i-2]); v \\ Charles R Greathouse IV, May 03 2012

CROSSREFS

Cf. A182509.

Sequence in context: A217598 A280207 A319045 * A112420 A010288 A143291

Adjacent sequences:  A182507 A182508 A182509 * A182511 A182512 A182513

KEYWORD

sign,easy

AUTHOR

Alex Ratushnyak, May 03 2012

STATUS

approved

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Last modified June 19 19:11 EDT 2019. Contains 324222 sequences. (Running on oeis4.)