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A076548 Let P(n,x) be defined as follows : P(1,x)=x P(n,x)=P(n-1,x)^2+1, sequence gives maximum value of coefficients of P(n,x). 0
1, 1, 2, 8, 168, 82432, 26984838984, 4014812889317061030144, 126245518036918986681661715832901630563334656, 174032897098486613071748425543428287864783701646257306342693313602518201638203850484486144 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,3
LINKS
EXAMPLE
P(4,x)= x^8 + 4*x^6 + 8*x^4 + 8*x^2 + 5 hence a(4)=8
MATHEMATICA
f[n_] := Block[{k = n - 2}, Max@ CoefficientList[ Expand@ Nest[(1 + #)^2 &, x, k], x]]; f[1] = 1; Array[f, 10]
PROG
(PARI) b(n)=if(n<2, x, b(n-1)^2+1); a(n)=vecmax(vector(2^n/2/2, i, polcoeff(b(n), 2*i, x)))
CROSSREFS
Sequence in context: A175538 A009606 A009682 * A167009 A350808 A009713
KEYWORD
nonn
AUTHOR
Benoit Cloitre, Oct 19 2002
STATUS
approved

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Last modified March 5 06:19 EST 2024. Contains 370537 sequences. (Running on oeis4.)