A084211 G.f. A(x) defined by: A(x)^11 consists entirely of integer coefficients between 1 and 11 (A084066); A(x) is the unique power series solution with A(0)=1.

1, 1, -4, 26, -189, 1479, -12106, 102224, -883031, 7761209, -69153920, 623018880, -5664270185, 51892998965, -478521450110, 4437418074830, -41350439060725, 386983852716405

Offset

0,3

Comments

Limit a(n)/a(n+1) --> r = -0.100000000011 where A(r)=0.

Links

Table of n, a(n) for n=0..17.

Mathematica

kmax = 20;
A[x_] = Sum[a[k] x^k, {k, 0, kmax}];
coes = CoefficientList[A[x]^11 + O[x]^(kmax + 1), x];
r = {a[0] -> 1, a[1] -> 1};
coes = coes /. r;
Do[r = Flatten @ Append[r, Reduce[1 <= coes[[k]] <= 11, a[k-1], Integers] // ToRules];
coes = coes /. r, {k, 3, kmax + 1}];
Table[a[k], {k, 0, kmax}] /. r (* Jean-François Alcover, Jul 26 2018 *)

Crossrefs

Cf. A084066, A084202-A084210, A084212.

Sequence in context: A371517 A052763 A213101 * A114496 A127086 A198024

Adjacent sequences: A084208 A084209 A084210 * A084212 A084213 A084214

Keyword

sign

Author

Paul D. Hanna, May 20 2003

Status

approved