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.
%I A319073 #29 Jan 08 2019 08:38:45 %S A319073 1,3,2,4,6,3,7,8,9,4,6,14,12,12,5,12,12,21,16,15,6,8,24,18,28,20,18,7, %T A319073 15,16,36,24,35,24,21,8,13,30,24,48,30,42,28,24,9,18,26,45,32,60,36, %U A319073 49,32,27,10,12,36,39,60,40,72,42,56,36,30,11,28,24,54,52,75,48,84,48,63,40,33,12 %N A319073 Square array read by antidiagonals upwards: T(n,k) = k*sigma(n), n >= 1, k >= 1. %H A319073 <a href="/index/Si#SIGMAN">Index entries for sequences related to sigma(n)</a> %e A319073 The corner of the square array begins: %e A319073 A000203 A074400 A272027 A239050 A274535 A274536 A319527 A319528 %e A319073 A000027: 1, 2, 3, 4, 5, 6, 7, 8, ... %e A319073 A008585: 3, 6, 9, 12, 15, 18, 21, 24, ... %e A319073 A008586: 4, 8, 12, 16, 20, 24, 28, 32, ... %e A319073 A008589: 7, 14, 21, 28, 35, 42, 49, 56, ... %e A319073 A008588: 6, 12, 18, 24, 30, 36, 42, 48, ... %e A319073 A008594: 12, 24, 36, 48, 60, 72, 84, 96, ... %e A319073 A008590: 8, 16, 24, 32, 40, 48, 56, 64, ... %e A319073 A008597: 15, 30, 45, 60, 75, 90, 105, 120, ... %e A319073 A008595: 13, 26, 39, 52, 65, 78, 91, 104, ... %e A319073 A008600: 18, 36, 54, 72, 90, 108, 126, 144, ... %e A319073 ... %p A319073 with(numtheory): T:=(n,k)->k*sigma(n-k+1): seq(seq(T(n,k),k=1..n),n=1..12); # _Muniru A Asiru_, Jan 01 2019 %t A319073 Table[k DivisorSigma[1, #] &[m - k + 1], {m, 12}, {k, m}] // Flatten (* _Michael De Vlieger_, Dec 31 2018 *) %o A319073 (GAP) T:=Flat(List([1..12],n->List([1..n],k->k*Sigma(n-k+1))));; Print(T); # _Muniru A Asiru_, Jan 01 2019 %Y A319073 Another version of A274824. %Y A319073 Antidiagonal sums give A175254. %Y A319073 Main diagonal gives A064987. %Y A319073 Row n lists the multiples of A000203(n). %Y A319073 Row 1 is A000027. %Y A319073 Initial zeros should be omitted in the following sequences related to the rows of the array: %Y A319073 Row 2-5: A008585, A008586, A008589, A008588. %Y A319073 Rows 6 and 11: A008594. %Y A319073 Rows 7-9: A008590, A008597, A008595. %Y A319073 Rows 10 and 17: A008600. %Y A319073 Rows 12-13: A135628, A008596. %Y A319073 Rows 14, 15 and 23: A008606. %Y A319073 Rows 16 and 25: A135631. %Y A319073 (Note that in the OEIS there are many other sequences that are also rows of this square array.) %Y A319073 Cf. A000203, A237593, A319526. %K A319073 nonn,tabl,easy %O A319073 1,2 %A A319073 _Omar E. Pol_, Sep 22 2018