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 A319073 Square array read by antidiagonals upwards: T(n,k) = k*sigma(n), n >= 1, k >= 1. 2
 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, 15, 16, 36, 24, 35, 24, 21, 8, 13, 30, 24, 48, 30, 42, 28, 24, 9, 18, 26, 45, 32, 60, 36, 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 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS EXAMPLE The corner of the square array begins: A000027:       1,      2,      3,      4,      5,      6,      7,      8, ... A008585:       3,      6,      9,     12,     15,     18,     21,     24, ... A008586:       4,      8,     12,     16,     20,     24,     28,     32, ... A008589:       7,     14,     21,     28,     35,     42,     49,     56, ... A008588:       6,     12,     18,     24,     30,     36,     42,     48, ... A008594:      12,     24,     36,     48,     60,     72,     84,     96, ... A008590:       8,     16,     24,     32,     40,     48,     56,     64, ... A008597:      15,     30,     45,     60,     75,     90,    105,    120, ... A008595:      13,     26,     39,     52,     65,     78,     91,    104, ... A008600:      18,     36,     54,     72,     90,    108,    126,    144, ... ... MAPLE 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 MATHEMATICA Table[k DivisorSigma[1, #] &[m - k + 1], {m, 12}, {k, m}] // Flatten (* Michael De Vlieger, Dec 31 2018 *) PROG (GAP) T:=Flat(List([1..12], n->List([1..n], k->k*Sigma(n-k+1))));; Print(T); # Muniru A Asiru, Jan 01 2019 CROSSREFS Another version of A274824. Antidiagonal sums give A175254. Main diagonal gives A064987. Row n lists the multiples of A000203(n). Row 1 is A000027. Initial zeros should be omitted in the following sequences related to the rows of the array: Row 2-5: A008585, A008586, A008589, A008588. Rows 6 and 11: A008594. Rows 7-9: A008590, A008597, A008595. Rows 10 and 17: A008600. Rows 12-13: A135628, A008596. Rows 14, 15 and 23: A008606. Rows 16 and 25: A135631. (Note that in the OEIS there are many other sequences that are also rows of this square array.) Cf. A000203, A237593, A319526. Sequence in context: A280318 A246982 A258215 * A129601 A187566 A049831 Adjacent sequences:  A319070 A319071 A319072 * A319074 A319075 A319076 KEYWORD nonn,tabl,easy AUTHOR Omar E. Pol, Sep 22 2018 STATUS approved

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Last modified June 7 05:20 EDT 2020. Contains 334837 sequences. (Running on oeis4.)