cp's OEIS Frontend

A379634 Irregular triangle read by rows in which row n lists the odd divisors of n ordered as the mirror of A261697.

%I A379634 #34 Jan 07 2025 10:13:54
%S A379634 1,1,3,1,1,5,1,3,1,7,1,1,3,9,1,5,1,11,1,3,1,13,1,7,1,5,3,15,1,1,17,1,
%T A379634 9,3,1,19,1,5,1,7,3,21,1,11,1,23,1,3,1,5,25,1,13,1,9,3,27,1,7,1,29,1,
%U A379634 5,15,3,1,31,1,1,11,3,33,1,17,1,7,5,35,1,9,3,1,37,1,19,1,13,3,39,1,5,1,41,1,7,21,3,1,43,1,11,1
%N A379634 Irregular triangle read by rows in which row n lists the odd divisors of n ordered as the mirror of A261697.
%C A379634 Row n gives the last A001227(n) terms of the n-th row of A379630 and of A379631.
%C A379634 For a correspondence between the row n and the partitions of n into consecutive parts see A379630.
%e A379634 Triangle begins:
%e A379634    1;
%e A379634    1;
%e A379634    3,  1;
%e A379634    1;
%e A379634    5,  1;
%e A379634    3,  1;
%e A379634    7,  1;
%e A379634    1;
%e A379634    3,  9,  1;
%e A379634    5,  1;
%e A379634   11,  1;
%e A379634    3,  1;
%e A379634   13,  1;
%e A379634    7,  1;
%e A379634    5,  3, 15,  1;
%e A379634    1;
%e A379634   17,  1;
%e A379634    9,  3,  1;
%e A379634   19,  1;
%e A379634    5,  1;
%e A379634    7,  3, 21,  1;
%e A379634   11,  1;
%e A379634   23,  1;
%e A379634    3,  1;
%e A379634    5, 25,  1;
%e A379634   13,  1;
%e A379634    9,  3, 27,  1;
%e A379634    7,  1;
%e A379634   ...
%e A379634 Illustration of initial terms:
%e A379634    Row    _
%e A379634    1     |1|_
%e A379634    2     |_ 1|_
%e A379634    3     |3|  1|_
%e A379634    4     | |_   1|_
%e A379634    5     |_ 5|    1|_
%e A379634    6     |3| |_     1|_
%e A379634    7     | |  7|      1|_
%e A379634    8     | |_  |_       1|_
%e A379634    9     |_ 3|  9|        1|_
%e A379634   10     |5| |   |_         1|_
%e A379634   11     | | |_  11|          1|_
%e A379634   12     | |  3|   |_           1|_
%e A379634   13     | |_  |   13|            1|_
%e A379634   14     |_ 7| |_    |_             1|_
%e A379634   15     |5| |  3|   15|              1|_
%e A379634   16     | | |   |     |_               1|_
%e A379634   17     | | |_  |_    17|                1|_
%e A379634   18     | |  9|  3|     |_                 1|_
%e A379634   19     | |_  |   |     19|                  1|_
%e A379634   20     |_ 5| |   |_      |_                   1|_
%e A379634   21     |7| | |_   3|     21|                    1|_
%e A379634   22     | | | 11|   |       |_                     1|_
%e A379634   23     | | |   |   |_      23|                      1|_
%e A379634   24     | | |_  |    3|       |_                       1|_
%e A379634   25     | |  5| |_    |       25|                        1|_
%e A379634   26     | |_  | 13|   |_        |_                          1|_
%e A379634   27     |_ 9| |   |    3|       27|                           1|_
%e A379634   28     |7| | |   |     |         |                             1|
%e A379634   ...
%e A379634 The diagram is also the right part of the diagram of A379630 and of A379631.
%e A379634 The geometrical structure is the same as the diagram of A261350 which is the mirror of A237591.
%Y A379634 Mirror of A261697.
%Y A379634 Right border gives A000012.
%Y A379634 Row lengths give A001227.
%Y A379634 Row sums give A000593.
%Y A379634 Other versions are A182469, A261697, A261698.
%Y A379634 Cf. A196020, A235791, A236104, A237048, A237591, A237593, A261350, A261699, A379630, A379631, A379632, A379633.
%K A379634 nonn,tabf
%O A379634 1,3
%A A379634 _Omar E. Pol_, Dec 31 2024