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 A308477 Square array A(n,k), n >= 1, k >= 0, read by antidiagonals: A(n,k) = Sum_{j=1..n, gcd(n,j) = 1} j^k. 5
 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 5, 4, 4, 1, 1, 9, 10, 10, 2, 1, 1, 17, 28, 30, 6, 6, 1, 1, 33, 82, 100, 26, 21, 4, 1, 1, 65, 244, 354, 126, 91, 16, 6, 1, 1, 129, 730, 1300, 626, 441, 84, 27, 4, 1, 1, 257, 2188, 4890, 3126, 2275, 496, 159, 20, 10, 1, 1, 513, 6562, 18700, 15626, 12201, 3108, 1053, 140, 55, 4 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,6 LINKS Seiichi Manyama, Antidiagonals n = 1..140, flattened EXAMPLE Square array begins:   1,   1,   1,    1,    1,     1,  ...   1,   1,   1,    1,    1,     1,  ...   2,   3,   5,    9,   17,    33,  ...   2,   4,  10,   28,   82,   244,  ...   4,  10,  30,  100,  354,  1300,  ...   2,   6,  26,  126,  626,  3126,  ... MATHEMATICA Table[Function[k, Sum[If[GCD[n, j] == 1, j^k, 0], {j, 1, n}]][i - n], {i, 0, 12}, {n, 1, i}] // Flatten CROSSREFS Columns k=0..4 give A000010, A023896, A053818, A053819, A053820. Cf. A103438. Sequence in context: A098805 A168396 A049286 * A079216 A181654 A323756 Adjacent sequences:  A308474 A308475 A308476 * A308478 A308479 A308480 KEYWORD nonn,tabl AUTHOR Ilya Gutkovskiy, May 29 2019 STATUS approved

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Last modified July 29 11:34 EDT 2021. Contains 346344 sequences. (Running on oeis4.)