A085851 Decimal expansion of hard hexagon entropy constant.

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

Offset: 1

Author

Eric W. Weisstein, Jul 05 2003

Keywords

• nonn
• nice
• cons

Examples

			1.395485972...
		

References

• Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 5.12, p. 343.

Links

• V. Kotesovec, Non-attacking chess pieces, 6ed, 2013, p. 69.
• Eric Weisstein's World of Mathematics, Hard Hexagon Entropy Constant.

Crossrefs

Cf. A085850, A247413, A066864.

Programs

Mathematica

RealDigits[N[Root[-32751691810479015985152 + 97143135277377575190528*#1^4 - 73347491183630103871488*#1^6 - 71220809441400405884928*#1^8 + 107155448150443388043264*#1^10 - 72405670285649161617408*#1^12 + 2958015038376958230528*#1^14 + 7449488310131083100160*#1^16 + 797726698866658379776*#1^18 + 2505062311720673792* #1^20 + 2013290651222784*#1^22 + 25937424601*#1^24 & , 2], 200]][[1]] (* Vaclav Kotesovec, Apr 03 2014 *)