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

1,2

Links

Paul D. Hanna, Table of n, a(n) for n = 1..60

Example

 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 +...

Crossrefs

Cf. A236960, A236961, A236962, A236963.

Sequence in context: A141007 A207570 A158839 * A145349 A309170 A338163

Adjacent sequences: A236961 A236962 A236963 * A236965 A236966 A236967

Keyword

nonn

Author

Paul D. Hanna, Feb 10 2014

Status

approved