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A348649 Odd numbers in the triangle of Stirling numbers of the second kind (A008277).

%I A348649 #12 Oct 28 2021 12:03:30
%S A348649 1,1,1,1,3,1,1,7,1,1,15,25,1,1,31,65,15,1,1,63,301,21,1,1,127,1701,1,
%T A348649 1,255,3025,6951,1,1,511,34105,42525,22827,45,1,1,1023,28501,179487,
%U A348649 63987,1155,55,1,1,2047,611501,159027,22275,1705,1,1,4095,261625,7508501,39325,2431,1
%N A348649 Odd numbers in the triangle of Stirling numbers of the second kind (A008277).
%C A348649 We take the odd values in A008277, as they appear, with duplicates.
%C A348649 For any n >= 1, the n-th row has A007306(n) terms.
%H A348649 Rémy Sigrist, <a href="/A348649/b348649.txt">Table of n, a(n) for n = 1..10057</a> (rows for n = 1..331, flattened)
%H A348649 Rémy Sigrist, <a href="/A348649/a348649.png">Logarithmic scatterplot of the first 35000 terms</a>
%H A348649 <a href="/index/St#Stirling">Index entries for sequences related to Stirling numbers</a>
%e A348649 As an irregular table, the first rows are:
%e A348649      1:    1;
%e A348649      2:    1, 1;
%e A348649      3:    1, 3, 1;
%e A348649      4:    1, 7, 1;
%e A348649      5:    1, 15, 25, 1;
%e A348649      6:    1, 31, 65, 15, 1;
%e A348649      7:    1, 63, 301, 21, 1;
%e A348649      8:    1, 127, 1701, 1;
%e A348649      9:    1, 255, 3025, 6951, 1;
%e A348649     10:    1, 511, 34105, 42525, 22827, 45, 1;
%e A348649     11:    1, 1023, 28501, 179487, 63987, 1155, 55, 1;
%e A348649     ...
%o A348649 (PARI) row(n) = select(v -> v%2==1, vector(n, k, stirling(n, k, 2)))
%Y A348649 See A014421, A014428, A014450, A014459 for similar sequences.
%Y A348649 Cf. A007306, A008277, A348650 (even numbers).
%K A348649 nonn,tabf
%O A348649 1,5
%A A348649 _Rémy Sigrist_, Oct 27 2021