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A059729
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Carryless squares n X n base 10.
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24
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0, 1, 4, 9, 6, 5, 6, 9, 4, 1, 100, 121, 144, 169, 186, 105, 126, 149, 164, 181, 400, 441, 484, 429, 466, 405, 446, 489, 424, 461, 900, 961, 924, 989, 946, 905, 966, 929, 984, 941, 600, 681, 664, 649, 626, 605, 686, 669, 644, 621, 500, 501, 504, 509, 506, 505
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,3
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LINKS
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Table of n, a(n) for n=0..55.
David Applegate, Marc LeBrun and N. J. A. Sloane, Carryless Arithmetic (I): The Mod 10 Version.
Index entries for sequences related to carryless arithmetic
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EXAMPLE
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a(87) is carryless sum of (6)400, (5)60, (5)60 and (4)9, i.e., 400+20+9 = 429.
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PROG
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(Python)
def A059729(n):
s = [int(d) for d in str(n)]
l = len(s)
t = [0]*(2*l-1)
for i in range(l):
for j in range(l):
t[i+j] = (t[i+j] + s[i]*s[j]) % 10
return int("".join(str(d) for d in t)) # Chai Wah Wu, Jun 29 2020
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CROSSREFS
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Cf. A004520, A059692, A169889, A169963.
See A087019 (lunar squares) for another version.
Sequence in context: A008959 A316347 A169917 * A184988 A108533 A200414
Adjacent sequences: A059726 A059727 A059728 * A059730 A059731 A059732
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KEYWORD
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base,nonn
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AUTHOR
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Henry Bottomley, Feb 20 2001
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STATUS
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approved
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