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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 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-François 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.)