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A242022 Decimal expansion of the asymptotic growth rate of the number of odd coefficients in Pascal quintinomial triangle mod 2. 4
7, 8, 9, 6, 4, 1, 8, 5, 0, 5, 3, 0, 7, 6, 8, 5, 6, 3, 9, 0, 1, 5, 4, 7, 2, 6, 7, 0, 6, 6, 4, 1, 4, 0, 1, 8, 9, 9, 0, 8, 2, 9, 5, 5, 3, 5, 9, 2, 6, 8, 3, 8, 9, 3, 5, 2, 3, 6, 5, 3, 8, 7, 9, 4, 6, 2, 2, 3, 6, 9, 5, 8, 7, 4, 9, 0, 3, 0, 1, 9, 3, 4, 9, 7, 8, 8, 9, 0, 8, 4, 0, 7, 7, 8, 4, 2, 9, 4, 4, 6 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..99.

Steven Finch, Pascal Sebah and Zai-Qiao Bai, Odd Entries in Pascal's Trinomial Triangle (arXiv:0802.2654) p. 10.

FORMULA

log(abs(mu))/log(2) - 1, where mu is the root of x^4 - x^3 - 6*x^2 - 4*x - 16 with maximum modulus.

EXAMPLE

0.7896418505307685639015472670664140189908295535926838935...

MATHEMATICA

mu = Sort[Table[Root[x^4 - x^3 - 6*x^2 - 4*x - 16, x, n], {n, 1, 4}], N[Abs[#1]] < N[Abs[#2]] &] // Last; RealDigits[Log[mu]/Log[2] - 1, 10, 100] // First

CROSSREFS

Cf. A242021.

Sequence in context: A114514 A011471 A257237 * A085676 A036793 A257394

Adjacent sequences:  A242019 A242020 A242021 * A242023 A242024 A242025

KEYWORD

nonn,cons,easy

AUTHOR

Jean-Fran├žois Alcover, Aug 11 2014

STATUS

approved

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Last modified February 21 06:40 EST 2019. Contains 320371 sequences. (Running on oeis4.)