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

1,2

Links

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

Example

 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 +...

Crossrefs

Cf. A236960, A236961, A236962, A236964.

Sequence in context: A120972 A168479 A158838 * A107716 A032033 A218494

Adjacent sequences: A236960 A236961 A236962 * A236964 A236965 A236966

Keyword

nonn

Author

Paul D. Hanna, Feb 10 2014

Status

approved