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.

A364884 Triangle T(n, k), n > 0, k = 1..n, read by rows; T(1, 1) = 1, and for n > 1, k = 1..n, T(n, k) is the least unseen multiple of the k-th term of the flattened sequence .

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%I A364884 #14 Aug 27 2023 14:37:39
%S A364884 1,2,4,3,6,8,5,10,12,9,7,14,16,15,18,11,20,24,21,30,32,13,22,28,27,36,
%T A364884 40,25,17,26,44,33,42,48,35,50,19,34,52,39,54,56,45,60,72,23,38,64,51,
%U A364884 66,80,55,70,84,63,29,46,68,57,78,88,65,90,96,81,49
%N A364884 Triangle T(n, k), n > 0, k = 1..n, read by rows; T(1, 1) = 1, and for n > 1, k = 1..n, T(n, k) is the least unseen multiple of the k-th term of the flattened sequence .
%C A364884 In other words, T(n, k) is a multiple of a(k).
%C A364884 As a flat sequence, this is a permutation of the positive integers (as each row starts with the least positive integer not yet in the sequence); see A364887 for the inverse permutation.
%H A364884 Rémy Sigrist, <a href="/A364884/b364884.txt">Table of n, a(n) for n = 1..10011</a> (rows for n = 1..141 flattened)
%H A364884 Rémy Sigrist, <a href="/A364884/a364884.gp.txt">PARI program</a>
%H A364884 <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%e A364884 Triangle begins:
%e A364884           1,
%e A364884           2,  4
%e A364884           3,  6,  8
%e A364884           5, 10, 12,  9
%e A364884           7, 14, 16, 15,  18
%e A364884          11, 20, 24, 21,  30,  32
%e A364884          13, 22, 28, 27,  36,  40, 25
%e A364884          17, 26, 44, 33,  42,  48, 35,  50
%e A364884          19, 34, 52, 39,  54,  56, 45,  60,  72
%e A364884          23, 38, 64, 51,  66,  80, 55,  70,  84, 63
%e A364884          29, 46, 68, 57,  78,  88, 65,  90,  96, 81, 49
%e A364884          31, 58, 76, 69, 102, 104, 75, 100, 108, 99, 77, 98
%e A364884          ..................................................
%e A364884     a(k)  1,  2,  4,  3,   6,   8,  5,  10,  12,  9,  7, 14
%o A364884 (PARI) See Links section.
%Y A364884 See A361748 and A364885 for similar sequences.
%Y A364884 Cf. A364887 (inverse).
%K A364884 nonn,tabl
%O A364884 1,2
%A A364884 _Rémy Sigrist_, Aug 12 2023