A242022 Decimal expansion of the asymptotic growth rate of the number of odd coefficients in Pascal quintinomial triangle mod 2.

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

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 = 3.4572905... 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-François Alcover, Aug 11 2014

Status

approved