The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A319278 Square array sigma_k(n) read down antidiagonals: sum of the k-th powers of the divisors of n. 1
 1, 1, 3, 1, 5, 4, 1, 9, 10, 7, 1, 17, 28, 21, 6, 1, 33, 82, 73, 26, 12, 1, 65, 244, 273, 126, 50, 8, 1, 129, 730, 1057, 626, 252, 50, 15, 1, 257, 2188, 4161, 3126, 1394, 344, 85, 13, 1, 513, 6562, 16513, 15626, 8052, 2402, 585, 91, 18, 1, 1025, 19684, 65793, 78126, 47450, 16808, 4369, 757, 130, 12 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Equals the square array A082771 without its first column. LINKS FORMULA sigma_k(n) = sum_{d|n} d^k. EXAMPLE The array starts in row n=1 with columns k>=1 as:      1      1      1      1      1      1       1        1      3      5      9     17     33     65     129      257      4     10     28     82    244    730    2188     6562      7     21     73    273   1057   4161   16513    65793      6     26    126    626   3126  15626   78126   390626     12     50    252   1394   8052  47450  282252  1686434      8     50    344   2402  16808 117650  823544  5764802     15     85    585   4369  33825 266305 2113665 16843009 CROSSREFS Columns: A000203, A001157, A001158, A001159. Rows: A000012, A000051, A034472, A001576, A034474, A034488. Cf. A082771, A023887 (diagonal), A319194 (partial column sums). Sequence in context: A029655 A110813 A124883 * A294579 A308502 A308674 Adjacent sequences:  A319275 A319276 A319277 * A319279 A319280 A319281 KEYWORD nonn,tabl,easy AUTHOR R. J. Mathar, Sep 16 2018 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 9 08:13 EST 2021. Contains 349627 sequences. (Running on oeis4.)