%I
%S 0,1,4,7,16,21,28,31,64,73,84,95,112,125,124,127,256,273,292,311,336,
%T 341,380,383,448,473,500,511,496,509,508,511,1024,1057,1092,1127,1168,
%U 1205,1244,1279,1344,1385,1364,1407,1520,1533,1532,1535,1792,1841,1892
%N Squares in ORnumbral arithmetic.
%C See A048888 for the definition of ORnumbral arithmetic.
%C Or, squares in lunar arithmetic base 2, written in base 10.  _N. J. A. Sloane_, Oct 02 2010
%C This sequence is not multiplicative; for example a(15) = 127 != 7 * 21 = a(3) * a(5). It is totally ORnumbral multiplicative: a([n] * [m]) = [a(n)] * [a(m)] in ORnumbral arithmetic.  _Franklin T. AdamsWatters_, Oct 27 2006
%H Reinhard Zumkeller, <a href="/A067398/b067398.txt">Table of n, a(n) for n = 0..10000</a>
%H D. Applegate, M. LeBrun and N. J. A. Sloane, <a href="http://arxiv.org/abs/1107.1130">Dismal Arithmetic</a> [Note: we have now changed the name from "dismal arithmetic" to "lunar arithmetic"  the old name was too depressing]
%H D. Applegate, M. LeBrun, N. J. A. Sloane, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL14/Sloane/carry2.html">Dismal Arithmetic</a>, J. Int. Seq. 14 (2011) # 11.9.8.
%H A. Frosini and S. Rinaldi, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL9/Frosini/fros2.html">On the Sequence A079500 and Its Combinatorial Interpretations</a>, J. Integer Seq., Vol. 9 (2006), Article 06.3.1.
%H <a href="/index/Di#dismal">Index entries for sequences related to dismal (or lunar) arithmetic</a>
%e A067398(5) = 21 since [5] * [5] = [21] in ORnumbral arithmetic.
%o (Haskell)
%o a067398 :: Integer > Integer
%o a067398 0 = 0
%o a067398 n = orm n n where
%o orm 1 v = v
%o orm u v = orm (shiftR u 1) (shiftL v 1) .. if odd u then v else 0
%o  _Reinhard Zumkeller_, Mar 01 2013
%Y Cf. A003986, A007059, A048888, A067138, A067139, A067399, A067400, A067401.
%K nonn
%O 0,3
%A _Jens Voß_, Jan 23 2002
