|
%I #5 Jan 15 2023 09:27:08
%S 1,4,34,412,6333,116768,2498414,60678776,1646370324,49304407416,
%T 1614242231610,57334041759484,2194946060935833,90082535627196868,
%U 3944898781246389318,183589807833908851744,9047581726126772883962,470671514968767824048292
%N Column 3 of triangle A236961.
%H Paul D. Hanna, <a href="/A236964/b236964.txt">Table of n, a(n) for n = 1..60</a>
%e G.f.: A(x) = x + 4*x^2 + 34*x^3 + 412*x^4 + 6333*x^5 + 116768*x^6 +...
%e Triangle A236961 begins:
%e 1;
%e 1, 1;
%e 4, 2, 1;
%e 27, 11, 3, 1;
%e 256, 94, 21, 4, 1;
%e 3125, 1076, 217, 34, 5, 1;
%e 46656, 15362, 2910, 412, 50, 6, 1;
%e 823543, 262171, 47598, 6333, 695, 69, 7, 1; ...
%e such that column 0 equals A236961(n,0) = n^n.
%e Triangle A236961 transforms diagonals in the table of coefficients in the iterations of G(x), the g.f. of A236960, that starts as:
%e 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 +...
%Y Cf. A236960, A236961, A236962, A236963.
%K nonn
%O 1,2
%A _Paul D. Hanna_, Feb 10 2014
|
