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A236964 Column 3 of triangle A236961. 3
1, 4, 34, 412, 6333, 116768, 2498414, 60678776, 1646370324, 49304407416, 1614242231610, 57334041759484, 2194946060935833, 90082535627196868, 3944898781246389318, 183589807833908851744, 9047581726126772883962, 470671514968767824048292 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..18.

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 A052630

Adjacent sequences:  A236961 A236962 A236963 * A236965 A236966 A236967

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Feb 10 2014

STATUS

approved

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Last modified February 25 05:47 EST 2020. Contains 332220 sequences. (Running on oeis4.)