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 A194356 Triangle of divisors of 10^n, each number occurring once. 5
 1, 2, 5, 10, 4, 20, 25, 50, 100, 8, 40, 125, 200, 250, 500, 1000, 16, 80, 400, 625, 1250, 2000, 2500, 5000, 10000, 32, 160, 800, 3125, 4000, 6250, 12500, 20000, 25000, 50000, 100000, 64, 320, 1600, 8000, 15625, 31250, 40000, 62500, 125000, 200000, 250000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS The following rule for divisibility applies: for each term t in the n-th row of the triangle, a positive integer m is divisible by t if the last n digits of m are divisible by t; e.g., for n = 2, since 20 is one of the terms in the 2nd row of the triangle, a number m is divisible by 20 if the last 2 digits of m are divisible by 20. - Martin Renner, Jan 15 2023 LINKS T. D. Noe, Rows for n = 0..100 EXAMPLE The n-th row of the triangle begins with 2^n and ends with 10^n: 1; 2, 5, 10; 4, 20, 25, 50, 100; 8, 40, 125, 200, 250, 500, 1000; 16, 80, 400, 625, 1250, 2000, 2500, 5000, 10000; MAPLE T:={{1}}: for n from 1 to 9 do T:={op(T), numtheory[divisors](10^n) minus numtheory[divisors](10^(n-1))}; od: T; # Martin Renner, Jan 16 2023 MATHEMATICA Join[{{1}}, Table[Complement[Divisors[10^n], Divisors[10^(n-1)]], {n, 9}]] CROSSREFS Cf. A000079 (1st column), A011557 (right diagonal). Cf. A003592 (numbers of the form 2^i*5^j). Cf. A194357 (divisors of 6^n), A194358 (divisors of 30^n). Sequence in context: A078322 A252867 A352199 * A227317 A224300 A175467 Adjacent sequences: A194353 A194354 A194355 * A194357 A194358 A194359 KEYWORD nonn,tabf AUTHOR T. D. Noe, Aug 25 2011 STATUS approved

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Last modified June 4 20:02 EDT 2023. Contains 363128 sequences. (Running on oeis4.)