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Decimal expansion of number of inches in a meter.
1

%I #11 May 24 2023 12:32:42

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

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

%U 9,2,1,2,5,9,8,4,2,5,1,9

%N Decimal expansion of number of inches in a meter.

%C The exact value (this is the definition of an inch) is 1/0.0254.

%F From _Chai Wah Wu_, Sep 17 2016: (Start)

%F a(n) = a(n-1) - a(n-21) + a(n-22) for n > 23.

%F G.f.: x^2*(-5*x^20 - 3*x^19 + 2*x^18 - 3*x^17 + 8*x^16 - 4*x^15 + 3*x^14 - 2*x^13 - 4*x^12 - x^11 + 4*x^10 + 3*x^9 + x^8 - x^7 - 7*x^6 + 7*x^4 - 4*x^3 + 6*x^2 - 6*x - 3)/(x^22 - x^21 + x - 1). (End)

%e 39.370078740157480314960629921259842519685039370078740157480...

%t RealDigits[10000/254,10,120][[1]] (* _Harvey P. Dale_, Jan 13 2019 *)

%Y Cf. A224234 (feet), A224235 (yards).

%K nonn,cons

%O 2,1

%A _N. J. A. Sloane_, Apr 13 2013