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A236963 Column 2 of triangle A236961. 3
1, 3, 21, 217, 2910, 47598, 915221, 20182962, 501463686, 13849394018, 420676546425, 13933516789491, 499667134001968, 19284476610918801, 796927418729315367, 35106627960374772536, 1642235046999495643086, 81296320098443729853915, 4245930159553383360368993 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..19.

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

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Last modified November 15 22:20 EST 2018. Contains 317252 sequences. (Running on oeis4.)