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

1,2

Links

Table of n, a(n) for n=1..102.

V. Kotesovec, Non-attacking chess pieces, 6ed, 2013, p. 69.

Eric Weisstein's World of Mathematics, Hard Hexagon Entropy Constant

Example

1.395485972...

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 *)

Crossrefs

Cf. A085850, A247413, A066864.

Sequence in context: A282529 A070341 A245719 * A373099 A212321 A306552

Adjacent sequences: A085848 A085849 A085850 * A085852 A085853 A085854

Keyword

nonn,nice,cons

Author

Eric W. Weisstein, Jul 05 2003

Status

approved