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A182556
a(0)=1, a(n+1) = (a(n)*6) XOR a(n).
1
1, 7, 45, 291, 2033, 10327, 55901, 377971, 2580161, 13329991, 68092909, 475337827, 3047910961, 21335374615, 108342024605, 611555770419, 4227169747201, 22855656310535, 114836769975597, 592467546841635, 4147130288467697, 24449879086004055, 171122765320764253
OFFSET
0,2
FORMULA
a(0)=1, a(n+1) = (a(n)*6) XOR a(n), where XOR is the bitwise exclusive-or operator.
MATHEMATICA
NestList[BitXor[6#, #]&, 1, 30] (* Harvey P. Dale, Nov 23 2012 *)
PROG
(Python)
a=1
for n in range(55):
. print a,
. a ^= a*6
CROSSREFS
Cf. A001317: a(n+1) = (a(n)*2) XOR a(n).
Cf. A038183: a(n+1) = (a(n)*4) XOR a(n).
Cf. A100311: a(n+1) = (a(n)*8) XOR a(n).
Sequence in context: A287811 A115194 A062274 * A363570 A219020 A280597
KEYWORD
nonn,base,easy
AUTHOR
Alex Ratushnyak, May 05 2012
STATUS
approved