

A087019


Lunar squares: n*n where * is lunar multiplication (A087062).


10



0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 100, 111, 112, 113, 114, 115, 116, 117, 118, 119, 200, 211, 222, 223, 224, 225, 226, 227, 228, 229, 300, 311, 322, 333, 334, 335, 336, 337, 338, 339, 400, 411, 422, 433, 444, 445, 446, 447, 448, 449, 500, 511, 522, 533, 544, 555, 556, 557, 558
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OFFSET

0,3


COMMENTS

Sequence is not monotonic (1011*1011 = 1011111 > 1020*1020 = 1010200). In fact it even contains repetitions (11011*11011 = 11111*11111 = 111111111). See A172199.  N. J. A. Sloane, Dec 20 2010


LINKS

N. J. A. Sloane, Table of n, a(n) for n = 0..10000
D. Applegate, C program for lunar arithmetic and number theory, [Note: we have now changed the name from "dismal arithmetic" to "lunar arithmetic"  the old name was too depressing]
D. Applegate, M. LeBrun and N. J. A. Sloane, Dismal Arithmetic, arXiv:1107.1130 [math.NT], 2011. [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.
Brady Haran and N. J. A. Sloane, Primes on the Moon (Lunar Arithmetic), Numberphile video, Nov 2018.
Christian Woll, There is a 3X3 Magic Square of Squares on the Moon  A Lot of Them, Actually, arXiv:1811.04923 [math.HO], 2018.
Index entries for sequences related to dismal (or lunar) arithmetic


FORMULA

a(n)=A087062(n,n).  M. F. Hasler, Nov 15 2018


PROG

(PARI) apply( A087019(n)=A087062(n, n), [1..60]) \\ M. F. Hasler, Nov 15 2018


CROSSREFS

Cf. A087062 (lunar product), A087097 (lunar primes).
Cf. A172199, A180513, A181319, A087097.
Sequence in context: A218556 A043314 A088472 * A044911 A110734 A080436
Adjacent sequences: A087016 A087017 A087018 * A087020 A087021 A087022


KEYWORD

nonn,base,changed


AUTHOR

Marc LeBrun and N. J. A. Sloane, Oct 19 2003


STATUS

approved



