A236964 Column 3 of triangle A236961.

1, 4, 34, 412, 6333, 116768, 2498414, 60678776, 1646370324, 49304407416, 1614242231610, 57334041759484, 2194946060935833, 90082535627196868, 3944898781246389318, 183589807833908851744, 9047581726126772883962, 470671514968767824048292

Offset: 1

Author

Paul D. Hanna, Feb 10 2014

Keywords

• nonn

Examples

			G.f.: A(x) = x + 4*x^2 + 34*x^3 + 412*x^4 + 6333*x^5 + 116768*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..60

Crossrefs

Cf. A236960, A236961, A236962, A236963.