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A084210 G.f. A(x) defined by: A(x)^10 consists entirely of integer coefficients between 1 and 10 (A083950); A(x) is the unique power series solution with A(0)=1. 2
1, 1, -4, 25, -173, 1292, -10105, 81565, -673691, 5662878, -48263038, 415950272, -3617999891, 31714089336, -279828926113, 2483097203637, -22143011361045, 198317403322755 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Limit a(n)/a(n+1) --> r = -0.104430987675729 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]^10 + O[x]^(kmax + 1), x];

r = {a[0] -> 1, a[1] -> 1};

coes = coes /. r;

Do[r = Flatten @ Append[r, Reduce[1 <= coes[[k]] <= 10, a[k - 1], Integers] // ToRules];

coes = coes /. r, {k, 3, kmax + 1}];

Table[a[k], {k, 0, kmax}] /. r (* Jean-Fran├žois Alcover, Jul 26 2018 *)

CROSSREFS

Cf. A083950, A084202-A084209, A084211, A084212.

Sequence in context: A278689 A140177 A034494 * A093683 A006348 A213608

Adjacent sequences:  A084207 A084208 A084209 * A084211 A084212 A084213

KEYWORD

sign

AUTHOR

Paul D. Hanna, May 20 2003

STATUS

approved

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Last modified November 29 07:44 EST 2020. Contains 338756 sequences. (Running on oeis4.)