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.

A334215 T(n, k) is the greatest positive integer m such that m^k divides n; square array T(n, k), n, k > 0 read by antidiagonals downwards.

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%I A334215 #10 Apr 20 2020 09:55:10
%S A334215 1,1,2,1,1,3,1,1,1,4,1,1,1,2,5,1,1,1,1,1,6,1,1,1,1,1,1,7,1,1,1,1,1,1,
%T A334215 1,8,1,1,1,1,1,1,1,2,9,1,1,1,1,1,1,1,2,3,10,1,1,1,1,1,1,1,1,1,1,11,1,
%U A334215 1,1,1,1,1,1,1,1,1,1,12,1,1,1,1,1,1,1,1
%N A334215 T(n, k) is the greatest positive integer m such that m^k divides n; square array T(n, k), n, k > 0 read by antidiagonals downwards.
%F A334215 T(n, 1) = n.
%F A334215 T(n, 2) = A000188(n).
%F A334215 T(n, 3) = A053150(n).
%F A334215 T(n, 4) = A053164(n).
%F A334215 T(n, A051903(n)) = A261969(n).
%F A334215 T(n, k) = 1 for any k > A051903(n).
%F A334215 T(n^k, k) = n.
%e A334215 Square array starts:
%e A334215   n\k|   1  2  3  4  5  6  7  8  9 10
%e A334215   ---+-------------------------------
%e A334215     1|   1  1  1  1  1  1  1  1  1  1
%e A334215     2|   2  1  1  1  1  1  1  1  1  1
%e A334215     3|   3  1  1  1  1  1  1  1  1  1
%e A334215     4|   4  2  1  1  1  1  1  1  1  1
%e A334215     5|   5  1  1  1  1  1  1  1  1  1
%e A334215     6|   6  1  1  1  1  1  1  1  1  1
%e A334215     7|   7  1  1  1  1  1  1  1  1  1
%e A334215     8|   8  2  2  1  1  1  1  1  1  1
%e A334215     9|   9  3  1  1  1  1  1  1  1  1
%e A334215    10|  10  1  1  1  1  1  1  1  1  1
%e A334215    11|  11  1  1  1  1  1  1  1  1  1
%e A334215    12|  12  2  1  1  1  1  1  1  1  1
%e A334215    13|  13  1  1  1  1  1  1  1  1  1
%e A334215    14|  14  1  1  1  1  1  1  1  1  1
%e A334215    15|  15  1  1  1  1  1  1  1  1  1
%e A334215    16|  16  4  2  2  1  1  1  1  1  1
%o A334215 (PARI) T(n,k) = { my (f=factor(n)); prod (i=1, #f~, f[i,1]^(f[i,2]\k)) }
%Y A334215 Cf. A000188, A051903, A053150, A053164, A060175, A261969, A334215, A334216.
%K A334215 nonn,tabl
%O A334215 1,3
%A A334215 _Rémy Sigrist_, Apr 19 2020