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A348650 Even numbers in the triangle of Stirling numbers of the second kind (A008277).

%I A348650 #14 Oct 28 2021 12:26:07
%S A348650 6,10,90,350,140,966,1050,266,28,7770,2646,462,36,9330,5880,750,
%T A348650 145750,246730,11880,86526,1379400,1323652,627396,66,2532530,9321312,
%U A348650 5715424,1899612,359502,78,788970,49329280,20912320,5135130,752752,66066,42355950,210766920
%N A348650 Even numbers in the triangle of Stirling numbers of the second kind (A008277).
%C A348650 We take the even values in A008277, as they appear, with duplicates.
%C A348650 For any n >= 4, the n-th row has n - A007306(n) terms.
%H A348650 Rémy Sigrist, <a href="/A348650/b348650.txt">Table of n, a(n) for n = 4..10120</a> (rows for n = 4..163, flattened)
%H A348650 Rémy Sigrist, <a href="/A348650/a348650.png">Logarithmic scatterplot of the first 35000 terms</a>
%H A348650 <a href="/index/St#Stirling">Index entries for sequences related to Stirling numbers</a>
%e A348650 As an irregular table, the first rows are:
%e A348650      4:   6;
%e A348650      5:   10;
%e A348650      6:   90;
%e A348650      7:   350, 140;
%e A348650      8:   966, 1050, 266, 28;
%e A348650      9:   7770, 2646, 462, 36;
%e A348650     10:   9330, 5880, 750;
%e A348650     11:   145750, 246730, 11880;
%e A348650     12:   86526, 1379400, 1323652, 627396, 66;
%e A348650     13:   2532530, 9321312, 5715424, 1899612, 359502, 78;
%e A348650     14:   788970, 49329280, 20912320, 5135130, 752752, 66066;
%e A348650     ...
%o A348650 (PARI) row(n) = select(v -> v%2==0, vector(n, k, stirling(n, k, 2)))
%Y A348650 Cf. A007306, A008277, A348649 (odd numbers).
%K A348650 nonn,look,tabf
%O A348650 4,1
%A A348650 _Rémy Sigrist_, Oct 27 2021