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A319599
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Numbers k such that k mod (2, 3, 4, ... , i+1) = (d_i, d_i-1, ..., d_1), where d_1, d_2, ..., d_i are the digits of k, with MSD(k) = d_1 and LSD(k) = d_i.
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0
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0, 1, 10, 20, 1101, 1121, 11311, 31101, 40210, 340210, 4620020, 5431101, 7211311, 12040210, 24120020, 151651121, 165631101, 1135531101, 8084220020, 9117311311, 894105331101
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OFFSET
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0,3
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LINKS
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EXAMPLE
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a(11) = 5431101 because:
5431101 mod 2 = 1, 5431101 mod 3 = 0, 5431101 mod 4 = 1,
5431101 mod 5 = 1, 5431101 mod 6 = 3, 5431101 mod 7 = 4,
5431101 mod 8 = 5.
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MAPLE
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P:=proc(q) local a, i, j, n, ok; print(0); print(1); for n from 1 to q do
for i from 0 to 1 do a:=10*n+i; ok:=1; for j from 1 to ilog10(a)+1 do
if (a mod 10)<>((10*n+i) mod (j+1)) then ok:=0; break; else
a:=trunc(a/10); fi; od; if ok=1 then print(10*n+i); break; fi;
od; od; end: P(10^12);
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CROSSREFS
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KEYWORD
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nonn,base,more
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AUTHOR
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STATUS
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approved
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