A symmetrical triangle based on Stirling numbers of the second kind :q=3;t(n,m,q)=If[m == 0 Or m == n, 1, If[Floor[n/2] greater than or equal to m, StirlingS2[ n, m]*q^m, StirlingS2[n, n - m]*q^(n - m)]].

A174546

A symmetrical triangle based on Stirling numbers of the second kind :q=3;t(n,m,q)=If[m == 0 Or m == n, 1, If[Floor[n/2] greater than or equal to m, StirlingS2[ n, m]*q^m, StirlingS2[n, n - m]*q^(n - m)]].

Terms

    a(0) =1a(1) =1a(2) =1a(3) =1a(4) =3a(5) =1a(6) =1a(7) =3a(8) =3a(9) =1a(10) =1a(11) =3a(12) =63a(13) =3a(14) =1a(15) =1a(16) =3a(17) =135a(18) =135a(19) =3a(20) =1a(21) =1a(22) =3a(23) =279a(24) =2430a(25) =279a(26) =3a(27) =1a(28) =1a(29) =3

External references