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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.

A239932 Triangle read by rows in which row n lists the parts of the symmetric representation of sigma(4n-2).

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%I A239932 #29 Dec 07 2016 11:07:59
%S A239932 3,12,9,9,12,12,39,18,18,21,21,72,27,27,30,30,96,36,36,39,15,39,120,
%T A239932 45,45,48,48,144,54,36,54,57,57,84,84,63,63,66,66,234,72,72,75,21,75,
%U A239932 108,108,81,81,84,48,84,120,120,90,90,93,93,312
%N A239932 Triangle read by rows in which row n lists the parts of the symmetric representation of sigma(4n-2).
%C A239932 Row n is a palindromic composition of sigma(4n-2).
%C A239932 Row n is also the row 4n-2 of A237270.
%C A239932 Row n has length A237271(4n-2).
%C A239932 Row sums give A239052.
%C A239932 Also row n lists the parts of the symmetric representation of sigma in the n-th arm of the second quadrant of the spiral described in A239660, see example.
%C A239932 For the parts of the symmetric representation of sigma(4n-3), see A239931.
%C A239932 For the parts of the symmetric representation of sigma(4n-1), see A239933.
%C A239932 For the parts of the symmetric representation of sigma(4n), see A239934.
%C A239932 We can find the spiral (mentioned above) on the terraces of the pyramid described in A244050. - _Omar E. Pol_, Dec 06 2016
%e A239932 The irregular triangle begins:
%e A239932 3;
%e A239932 12;
%e A239932 9, 9;
%e A239932 12, 12;
%e A239932 39;
%e A239932 18, 18;
%e A239932 21, 21;
%e A239932 72;
%e A239932 27, 27;
%e A239932 30, 30;
%e A239932 96;
%e A239932 36, 36;
%e A239932 39, 15, 39;
%e A239932 120;
%e A239932 45, 45;
%e A239932 48, 48;
%e A239932 ...
%e A239932 Illustration of initial terms in the second quadrant of the spiral described in A239660:
%e A239932 .                                 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
%e A239932 .                                |  _ _ _ _ _ _ _ _ _ _ _ _ _ _ _|
%e A239932 .                                | |
%e A239932 .                                | |
%e A239932 .                                | |  _ _ _ _ _ _ _ _ _ _ _ _ _ _
%e A239932 .                           _ _ _| | |  _ _ _ _ _ _ _ _ _ _ _ _ _|
%e A239932 .                          |       | | |
%e A239932 .                       _ _|  _ _ _| | |
%e A239932 .                  72 _|     |       | |  _ _ _ _ _ _ _ _ _ _ _ _
%e A239932 .                   _|      _| 21 _ _| | |  _ _ _ _ _ _ _ _ _ _ _|
%e A239932 .                  |      _|     |_ _ _| | |
%e A239932 .               _ _|    _|    _ _|       | |
%e A239932 .              |    _ _|    _|     18 _ _| |  _ _ _ _ _ _ _ _ _ _
%e A239932 .              |   |       |         |_ _ _| |  _ _ _ _ _ _ _ _ _|
%e A239932 .     _ _ _ _ _|   | 21 _ _|        _|       | |
%e A239932 .    |  _ _ _ _ _ _|   | |        _|      _ _| |
%e A239932 .    | |      _ _ _ _ _| | 18 _ _|       |     |  _ _ _ _ _ _ _ _
%e A239932 .    | |     |  _ _ _ _ _|   | |     39 _|  _ _| |  _ _ _ _ _ _ _|
%e A239932 .    | |     | |      _ _ _ _| |    _ _|  _|     | |
%e A239932 .    | |     | |     |  _ _ _ _|   |    _|   12 _| |
%e A239932 .    | |     | |     | |      _ _ _|   |       |_ _|  _ _ _ _ _ _
%e A239932 .    | |     | |     | |     |  _ _ _ _| 12 _ _|     |  _ _ _ _ _|
%e A239932 .    | |     | |     | |     | |      _ _ _| |    9 _| |
%e A239932 .    | |     | |     | |     | |     |  _ _ _|  9 _|_ _|
%e A239932 .    | |     | |     | |     | |     | |      _ _| |      _ _ _ _
%e A239932 .    | |     | |     | |     | |     | |     |  _ _| 12 _|  _ _ _|
%e A239932 .    | |     | |     | |     | |     | |     | |      _|   |
%e A239932 .    | |     | |     | |     | |     | |     | |     |  _ _|
%e A239932 .    | |     | |     | |     | |     | |     | |     | |    3 _ _
%e A239932 .    | |     | |     | |     | |     | |     | |     | |     |  _|
%e A239932 .    |_|     |_|     |_|     |_|     |_|     |_|     |_|     |_|
%e A239932 .
%e A239932 For n = 7 we have that 4*7-2 = 26 and the 26th row of A237593 is [14, 5, 2, 2, 2, 1, 1, 2, 2, 2, 5, 14] and the 25th row of A237593 is [13, 5, 3, 1, 2, 1, 1, 2, 1, 3, 5, 13] therefore between both Dyck paths there are two regions (or parts) of sizes [21, 21], so row 7 is [21, 21].
%e A239932 The sum of divisors of 26 is 1 + 2 + 13 + 26 = A000203(26) = 42. On the other hand the sum of the parts of the symmetric representation of sigma(26) is 21 + 21 = 42, equaling the sum of divisors of 26.
%Y A239932 Cf. A000203, A196020, A236104, A235791, A237270, A237271, A237591, A237593, A239052, A239660, A239931, A239933, A239934, A244050, A245092, A262626.
%K A239932 nonn,tabf,more
%O A239932 1,1
%A A239932 _Omar E. Pol_, Mar 29 2014