A236962 Column 1 of triangle A236961.

1, 2, 11, 94, 1076, 15362, 262171, 5198778, 117368024, 2970653234, 83287512901, 2561682696970, 85748218327188, 3102969248315842, 120702002794347559, 5022388886172728830, 222594275691025065632, 10468834006648393288830, 520740264878058965274931, 27314609364943353454490482

Offset

1,2

Comments

Column 0 triangle is A236961(n,0) = n^n.

Links

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

Example

G.f.: A(x) = x + 2*x^2 + 11*x^3 + 94*x^4 + 1076*x^5 + 15362*x^6 + 262171*x^7 +...
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, A236963, A236964.

Sequence in context: A346185 A083069 A158837 * A292916 A290586 A098621

Adjacent sequences: A236959 A236960 A236961 * A236963 A236964 A236965

Keyword

nonn

Author

Paul D. Hanna, Feb 10 2014

Status

approved