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.

A339489 T(n, k) = Product(divisors(k) union {k*j : j = 2..floor(n/k)}). Triangle read by rows.

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%I A339489 #7 Jan 01 2021 07:21:20
%S A339489 1,2,2,6,2,3,24,8,3,8,120,8,3,8,5,720,48,18,8,5,36,5040,48,18,8,5,36,
%T A339489 7,40320,384,18,64,5,36,7,64,362880,384,162,64,5,36,7,64,27,3628800,
%U A339489 3840,162,64,50,36,7,64,27,100,39916800,3840,162,64,50,36,7,64,27,100,11
%N A339489 T(n, k) = Product(divisors(k) union {k*j : j = 2..floor(n/k)}). Triangle read by rows.
%C A339489 For the connection with paths in the divisor graph of {1,...,n} see the comment in A339492.
%e A339489 The triangle starts:
%e A339489 [1]                            1;
%e A339489 [2]                           2, 2;
%e A339489 [3]                         6, 2, 3;
%e A339489 [4]                       24, 8, 3, 8;
%e A339489 [5]                     120, 8, 3, 8, 5;
%e A339489 [6]                  720, 48, 18, 8, 5, 36;
%e A339489 [7]                5040, 48, 18, 8, 5, 36, 7;
%e A339489 [8]             40320, 384, 18, 64, 5, 36, 7, 64;
%e A339489 [9]          362880, 384, 162, 64, 5, 36, 7, 64, 27;
%e A339489 [10]      3628800, 3840, 162, 64, 50, 36, 7, 64, 27, 100;
%p A339489 t := (n, k) -> NumberTheory:-Divisors(k) union {seq(k*j, j=2..n/k)}:
%p A339489 T := (n, k) -> mul(j, j = t(n, k)):
%p A339489 for n from 1 to 10 do seq(T(n, k), k=1..n) od;
%Y A339489 T(n, 1) = A000142(n), T(n, n) = A007955(n).
%Y A339489 Cf. A339491, A339492, A339496.
%K A339489 nonn,tabl
%O A339489 1,2
%A A339489 _Peter Luschny_, Dec 31 2020