

A067398


Squares in ORnumbral arithmetic.


7



0, 1, 4, 7, 16, 21, 28, 31, 64, 73, 84, 95, 112, 125, 124, 127, 256, 273, 292, 311, 336, 341, 380, 383, 448, 473, 500, 511, 496, 509, 508, 511, 1024, 1057, 1092, 1127, 1168, 1205, 1244, 1279, 1344, 1385, 1364, 1407, 1520, 1533, 1532, 1535, 1792, 1841, 1892
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OFFSET

0,3


COMMENTS

See A048888 for the definition of ORnumbral arithmetic.
Or, squares in lunar arithmetic base 2, written in base 10.  N. J. A. Sloane, Oct 02 2010
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


REFERENCES

A. Frosini and S. Rinaldi, On the Sequence A079500 and Its Combinatorial Interpretations, Journal of Integer Sequences, Vol. 9 (2006), Article 06.3.1.


LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 0..10000
D. Applegate, M. LeBrun and N. J. A. Sloane, Dismal Arithmetic [Note: we have now changed the name from "dismal arithmetic" to "lunar arithmetic"  the old name was too depressing]
D. Applegate, M. LeBrun, N. J. A. Sloane, Dismal Arithmetic, J. Int. Seq. 14 (2011) # 11.9.8.
Index entries for sequences related to dismal (or lunar) arithmetic


EXAMPLE

A067398(5) = 21 since [5] * [5] = [21] in ORnumbral arithmetic


PROG

(Haskell)
a067398 :: Integer > Integer
a067398 0 = 0
a067398 n = orm n n where
orm 1 v = v
orm u v = orm (shiftR u 1) (shiftL v 1) .. if odd u then v else 0
 Reinhard Zumkeller, Mar 01 2013


CROSSREFS

Cf. A003986, A007059, A048888, A067138, A067139, A067399, A067400, A067401.
Sequence in context: A256926 A101534 A110933 * A054599 A285998 A229917
Adjacent sequences: A067395 A067396 A067397 * A067399 A067400 A067401


KEYWORD

nonn


AUTHOR

Jens Voß, Jan 23 2002


STATUS

approved



