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A067398 Squares in OR-numbral 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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

See A048888 for the definition of OR-numbral 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 OR-numbral multiplicative: a([n] * [m]) = [a(n)] * [a(m)] in OR-numbral arithmetic. - Franklin T. Adams-Watters, 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]

Index entries for sequences related to dismal (or lunar) arithmetic

EXAMPLE

A067398(5) = 21 since [5] * [5] = [21] in OR-numbral 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 A229917 A095755

Adjacent sequences:  A067395 A067396 A067397 * A067399 A067400 A067401

KEYWORD

nonn

AUTHOR

Jens Voß, Jan 23 2002

STATUS

approved

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Last modified June 24 17:24 EDT 2017. Contains 288707 sequences.