A242047 Decimal expansion of the asymptotic growth rate of the number of odd coefficients in Pascal "sextinomial" triangle mod 2, where coefficients are from (1+x+x^2+x^3+x^4+x^5)^n.

8, 1, 9, 4, 6, 9, 4, 6, 2, 1, 6, 5, 5, 4, 0, 1, 4, 6, 5, 9, 5, 9, 3, 7, 6, 8, 4, 3, 7, 7, 2, 8, 5, 5, 9, 8, 6, 1, 5, 1, 2, 4, 6, 2, 3, 5, 4, 3, 1, 4, 1, 2, 0, 9, 3, 4, 7, 1, 1, 4, 6, 7, 7, 5, 7, 8, 5, 6, 7, 0, 3, 2, 5, 0, 0, 8, 1, 1, 7, 9, 4, 1, 6, 6, 7, 6, 7, 6, 7, 8, 7, 9, 3, 5, 8, 1, 0, 9, 6, 6, 7, 4, 7, 4, 6

Offset: 0

Author

Jean-François Alcover, Aug 13 2014

Keywords

• nonn
• cons

Examples

			0.819469462165540146595937684377285598615124623543141209347...
		

Links

• Steven Finch, Pascal Sebah and Zai-Qiao Bai, Odd Entries in Pascal's Trinomial Triangle (arXiv:0802.2654) p. 12.

Crossrefs

Cf. A242208 (1+x+x^2)^n, A242021 (1+x+x^3)^n, A242022 (1+x+x^2+x^3+x^4)^n, A241002 (1+x+x^4)^n.

Programs

Mathematica

mu = Sort[Table[Root[x^6 - 4*x^5 + x^4 - x^3 + 8*x^2 + 11*x + 8, x, n], {n, 1, 5}], N[Abs[#1]] < N[Abs[#2]] &] // Last; RealDigits[Log[mu]/Log[2] - 1, 10, 104] // First

Formula

log(abs(mu))/log(2) - 1, where mu is the root of x^6 - 4*x^5 + x^4 - x^3 + 8*x^2 + 11*x + 8 with maximum modulus.