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A223143 G.f. satisfies: A(x)^3 = A(x^2)^3 + 9*x. 2
1, 3, -6, 27, -141, 819, -5022, 31968, -209202, 1398420, -9505854, 65499759, -456410943, 3210397173, -22763553876, 162524220984, -1167359075781, 8429107868541, -61148608627518, 445450238075655, -3257116365714831, 23896262127268719, -175854177039133998 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
FORMULA
G.f.: A(x) = ( 1 + Sum_{n>=0} 9*x^(2^n) )^(1/3).
EXAMPLE
G.f.: A(x)) = 1 + 3*x - 6*x^2 + 27*x^3 - 141*x^4 + 819*x^5 - 5022*x^6 +...
where
A(x)^3 = 1 + 9*x + 9*x^2 + 9*x^4 + 9*x^8 + 9*x^16 + 9*x^32 +...+ 9*x^(2^n) +...
PROG
(PARI) {a(n)=local(A=1+x); for(i=1, #binary(n), A=(subst(A, x, x^2)^3+9*x+x*O(x^n))^(1/3)); polcoeff(A, n, x)}
for(n=0, 30, print1(a(n), ", "))
CROSSREFS
Sequence in context: A215394 A222625 A060170 * A270889 A097678 A251609
KEYWORD
sign
AUTHOR
Paul D. Hanna, Mar 15 2013
STATUS
approved

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Last modified March 4 23:31 EST 2024. Contains 370537 sequences. (Running on oeis4.)