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A166889 Coefficients of x^n in the (n+1)-th iteration of x*(1+x)^2 for n>=1. 2
1, 6, 52, 660, 11385, 251832, 6842220, 221228244, 8311401351, 356190316416, 17160064580802, 918453056609946, 54085054802995008, 3475794779752572784, 242103490865991893116, 18170143514998451547348 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..16.

EXAMPLE

Coefficients in the initial iterations of x*(1+x)^2 begin:

[1,2,1];

[(1),4,10,18,23,22,15,6,1];

[1,(6),27,102,333,960,2472,5748,12150,23388,...];

[1,8,(52),300,1578,7692,35094,150978,615939,2393628,...];

[1,10,85,(660),4790,32920,215988,1360638,8265613,48585702,...];

[1,12,126,1230,(11385),101010,864813,7178700,57976074,...];

[1,14,175,2058,23163,(251832),2660028,27405798,276215313,...];

[1,16,232,3192,42308,544600,(6842220),84191772,1017153322,...];

[1,18,297,4680,71388,1061712,15463512,(221228244),3115739358,...];

[1,20,370,6570,113355,1912590,31683051,516686346,(8311401351),...]; ...

where the coefficients in parenthesis form the initial terms of this sequence.

PROG

(PARI) {a(n)=local(F=x*(1+x)^2, G=x+x*O(x^n)); if(n<1, 0, for(i=1, n+1, G=subst(F, x, G)); return(polcoeff(G, n, x)))}

CROSSREFS

Cf. A166888, A154256, A119820, A166890.

Sequence in context: A209306 A271802 A097820 * A164894 A027835 A055973

Adjacent sequences:  A166886 A166887 A166888 * A166890 A166891 A166892

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Nov 22 2009

STATUS

approved

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Last modified August 3 20:23 EDT 2021. Contains 346441 sequences. (Running on oeis4.)