A236963 Column 2 of triangle A236961.

1, 3, 21, 217, 2910, 47598, 915221, 20182962, 501463686, 13849394018, 420676546425, 13933516789491, 499667134001968, 19284476610918801, 796927418729315367, 35106627960374772536, 1642235046999495643086, 81296320098443729853915, 4245930159553383360368993

Offset: 1

Author

Paul D. Hanna, Feb 10 2014

Keywords

• nonn

Examples

			G.f.: A(x) = x + 3*x^2 + 21*x^3 + 217*x^4 + 2910*x^5 + 47598*x^6 +...
Triangle A236961 begins:
  1;
  1, 1;
  4, 2, 1;
  27, 11, 3, 1;
  256, 94, 21, 4, 1;
  3125, 1076, 217, 34, 5, 1;
  46656, 15362, 2910, 412, 50, 6, 1;
  823543, 262171, 47598, 6333, 695, 69, 7, 1;
  ...
such that column 0 equals A236961(n,0) = n^n.
Triangle A236961 transforms diagonals in the table of coefficients in the iterations of G(x), the g.f. of A236960, that starts as:
G(x) = x + x^2 + 2*x^3 + 5*x^4 + 16*x^5 + 79*x^6 + 720*x^7 + 10735*x^8 + 211802*x^9 + 4968491*x^10 + 132655760*x^11 + 3943593218*x^12 +...
		

Links

• Paul D. Hanna, Table of n, a(n) for n = 1..61

Crossrefs

Cf. A236960, A236961, A236962, A236964.