cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A279535 Triangle read by rows: The number of digits in the smallest 9-repdigit that is a multiple of n and m, where n and m are coprime to 2 and 5.

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%I A279535 #11 Feb 08 2023 07:23:31
%S A279535 1,1,1,6,6,42,1,3,6,9,2,2,6,2,22,6,6,6,6,6,78,16,16,48,16,16,48,272,
%T A279535 18,18,18,18,18,18,144,342,6,6,42,6,6,6,48,18,42,22,22,66,22,22,66,
%U A279535 176,198,66,506,3,9,6,27,6,6,48,18,18,66,81,28,28,84,28,28,84,112,252,84,308,84,812
%N A279535 Triangle read by rows: The number of digits in the smallest 9-repdigit that is a multiple of n and m, where n and m are coprime to 2 and 5.
%C A279535 The number of digits of the smallest member of A002283 divisible by n and m, as n and m run through A045572. Numbers of the form 10^d-1 are not divisible through 5 or 2, so these are excluded in the table. Losely related to A278588.
%F A279535 T(i,j) = min{d: (n*m) | (10^d-1)} where n=A045572(i) and m=A045572(j).
%e A279535 The 3rd smallest number coprime to 2 and 5 is A045572(3)=7. The smallest 9-repdigit divisible by 7*7=49 is 10^42-1 = A002283(42), to T(3,3)=42.
%e A279535 The triangle starts
%e A279535    1;
%e A279535    1,  1;
%e A279535    6,  6, 42;
%e A279535    1,  3,  6,  9;
%e A279535    2,  2,  6,  2, 22;
%e A279535    6,  6,  6,  6,  6, 78;
%e A279535   16, 16, 48, 16, 16, 48, 272;
%Y A279535 Cf. A002283, A002329, A045572
%K A279535 nonn,tabl,base
%O A279535 1,4
%A A279535 _R. J. Mathar_, Dec 14 2016