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A294579 Square array A(n,k), n >= 1, k >= 0, read by antidiagonals, where A(n,k) is Sum_{d|n} d^(1 + k*n/d). 5

%I

%S 1,1,3,1,5,4,1,9,10,7,1,17,28,25,6,1,33,82,97,26,12,1,65,244,385,126,

%T 80,8,1,129,730,1537,626,588,50,15,1,257,2188,6145,3126,4508,344,161,

%U 13,1,513,6562,24577,15626,35652,2402,2049,163,18

%N Square array A(n,k), n >= 1, k >= 0, read by antidiagonals, where A(n,k) is Sum_{d|n} d^(1 + k*n/d).

%H Seiichi Manyama, <a href="/A294579/b294579.txt">Antidiagonals n = 1..140, flattened</a>

%F L.g.f. of column k: -log(Product_{j>=1} (1 - j^k*x^j)). - _Seiichi Manyama_, Jun 02 2019

%e Square array begins:

%e 1, 1, 1, 1, 1, ...

%e 3, 5, 9, 17, 33, ...

%e 4, 10, 28, 82, 244, ...

%e 7, 25, 97, 385, 1537, ...

%e 6, 26, 126, 626, 3126, ...

%Y Columns k=0..2 give A000203, A078308, A294567.

%Y Rows k=0..1 give A000012, A000051(n+1).

%Y Cf. A292166, A292193.

%K nonn,tabl

%O 1,3

%A _Seiichi Manyama_, Nov 02 2017

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Last modified February 17 02:22 EST 2020. Contains 331976 sequences. (Running on oeis4.)