cp's OEIS Frontend

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.

A266531 Square array read by antidiagonals upwards: T(n,k) = n-th number with k odd divisors.

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%I A266531 #25 Aug 17 2018 09:26:15
%S A266531 1,2,3,4,5,9,8,6,18,15,16,7,25,21,81,32,10,36,27,162,45,64,11,49,30,
%T A266531 324,63,729,128,12,50,33,625,75,1458,105,256,13,72,35,648,90,2916,135,
%U A266531 225,512,14,98,39,1250,99,5832,165,441,405,1024,17,100,42,1296,117,11664,189,450,567,59049,2048,19,121,51,2401,126,15625
%N A266531 Square array read by antidiagonals upwards: T(n,k) = n-th number with k odd divisors.
%C A266531 T(n,k) is the n-th positive integer with exactly k odd divisors.
%C A266531 This is a permutation of the natural numbers.
%C A266531 T(n,k) is also the n-th number j with the property that the symmetric representation of sigma(j) has k subparts (cf. A279387). - _Omar E. Pol_, Dec 27 2016
%C A266531 T(n,k) is also the n-th positive integer with exactly k partitions into consecutive parts. - _Omar E. Pol_, Aug 16 2018
%H A266531 <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%e A266531 The corner of the square array begins:
%e A266531     1,  3,  9, 15,   81,  45,   729, 105,  225,  405, ...
%e A266531     2,  5, 18, 21,  162,  63,  1458, 135,  441,  567, ...
%e A266531     4,  6, 25, 27,  324,  75,  2916, 165,  450,  810, ...
%e A266531     8,  7, 36, 30,  625,  90,  5832, 189,  882,  891, ...
%e A266531    16, 10, 49, 33,  648,  99, 11664, 195,  900, 1053, ...
%e A266531    32, 11, 50, 35, 1250, 117, 15625, 210, 1089, 1134, ...
%e A266531    64, 12, 72, 39, 1296, 126, 23328, 231, 1225, 1377, ...
%e A266531   128, 13, 98, 42, 2401, 147, 31250, 255, 1521, 1539, ...
%e A266531   ...
%Y A266531 Row 1 is A038547.
%Y A266531 Column 1-10: A000079, A038550, A072502, apparently A131651, A267696, A230577, A267697, A267891, A267892, A267893.
%Y A266531 Cf. A001227, A182469, A236104, A237591, A237593, A240062, A261697, A261698, A261699, A279387, A286000, A286001, A296508.
%K A266531 nonn,tabl
%O A266531 1,2
%A A266531 _Omar E. Pol_, Apr 02 2016