Calculating when the 1000th XKCD will appear

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// for a full explanation of this snippet see:
// http://strangelights.com/blog/archive/2011/09/02/calculating-when-the-1000th-xkcd-will-appear.aspx
open System

let epochNumber = 946
let epochDate = new DateTime(2011, 09, 2)
let xckdDays = Set.ofList [ DayOfWeek.Monday; DayOfWeek.Wednesday; DayOfWeek.Friday]

let getXkcdDate n =
    if n < epochNumber then failwithf "n was %i, it must be less that the epoch number %i" n epochNumber
    let n = n - epochNumber
    Seq.initInfinite (fun i -> epochDate.AddDays(float i))
    |> Seq.filter (fun date -> date.DayOfWeek |> xckdDays.Contains)
    |> Seq.nth n



let ``1000 th`` = getXkcdDate 1000
//val it : DateTime = 06/01/2012 00:00:00
let ``1024 th`` = getXkcdDate 1024
//val it : DateTime = 02/03/2012 00:00:00
let ``2000 th`` = getXkcdDate 2000
//val it : DateTime = 28/05/2018 00:00:00

namespace System

val epochNumber : int

Full name: Script.epochNumber

val epochDate : DateTime

Full name: Script.epochDate

Multiple items
type DateTime =
  struct
    new : ticks:int64 -> DateTime + 10 overloads
    member Add : value:TimeSpan -> DateTime
    member AddDays : value:float -> DateTime
    member AddHours : value:float -> DateTime
    member AddMilliseconds : value:float -> DateTime
    member AddMinutes : value:float -> DateTime
    member AddMonths : months:int -> DateTime
    member AddSeconds : value:float -> DateTime
    member AddTicks : value:int64 -> DateTime
    member AddYears : value:int -> DateTime
    ...
  end

Full name: System.DateTime

--------------------
DateTime()
   (+0 other overloads)
DateTime(ticks: int64) : unit
   (+0 other overloads)
DateTime(ticks: int64, kind: DateTimeKind) : unit
   (+0 other overloads)
DateTime(year: int, month: int, day: int) : unit
   (+0 other overloads)
DateTime(year: int, month: int, day: int, calendar: Globalization.Calendar) : unit
   (+0 other overloads)
DateTime(year: int, month: int, day: int, hour: int, minute: int, second: int) : unit
   (+0 other overloads)
DateTime(year: int, month: int, day: int, hour: int, minute: int, second: int, kind: DateTimeKind) : unit
   (+0 other overloads)
DateTime(year: int, month: int, day: int, hour: int, minute: int, second: int, calendar: Globalization.Calendar) : unit
   (+0 other overloads)
DateTime(year: int, month: int, day: int, hour: int, minute: int, second: int, millisecond: int) : unit
   (+0 other overloads)
DateTime(year: int, month: int, day: int, hour: int, minute: int, second: int, millisecond: int, kind: DateTimeKind) : unit
   (+0 other overloads)

val xckdDays : Set<DayOfWeek>

Full name: Script.xckdDays

Multiple items
module Set

from Microsoft.FSharp.Collections

--------------------
type Set<'T (requires comparison)> =
  interface IComparable
  interface IEnumerable
  interface IEnumerable<'T>
  interface ICollection<'T>
  new : elements:seq<'T> -> Set<'T>
  member Add : value:'T -> Set<'T>
  member Contains : value:'T -> bool
  override Equals : obj -> bool
  member IsProperSubsetOf : otherSet:Set<'T> -> bool
  member IsProperSupersetOf : otherSet:Set<'T> -> bool
  ...

Full name: Microsoft.FSharp.Collections.Set<_>

--------------------
new : elements:seq<'T> -> Set<'T>

val ofList : elements:'T list -> Set<'T> (requires comparison)

Full name: Microsoft.FSharp.Collections.Set.ofList

type DayOfWeek =
  | Sunday = 0
  | Monday = 1
  | Tuesday = 2
  | Wednesday = 3
  | Thursday = 4
  | Friday = 5
  | Saturday = 6

Full name: System.DayOfWeek

field DayOfWeek.Monday = 1

field DayOfWeek.Wednesday = 3

field DayOfWeek.Friday = 5

val getXkcdDate : n:int -> DateTime

Full name: Script.getXkcdDate

val n : int

val failwithf : format:Printf.StringFormat<'T,'Result> -> 'T

Full name: Microsoft.FSharp.Core.ExtraTopLevelOperators.failwithf

module Seq

from Microsoft.FSharp.Collections

val initInfinite : initializer:(int -> 'T) -> seq<'T>

Full name: Microsoft.FSharp.Collections.Seq.initInfinite

val i : int

DateTime.AddDays(value: float) : DateTime

Multiple items
val float : value:'T -> float (requires member op_Explicit)

Full name: Microsoft.FSharp.Core.Operators.float

--------------------
type float = Double

Full name: Microsoft.FSharp.Core.float

--------------------
type float<'Measure> = float

Full name: Microsoft.FSharp.Core.float<_>

val filter : predicate:('T -> bool) -> source:seq<'T> -> seq<'T>

Full name: Microsoft.FSharp.Collections.Seq.filter

val date : DateTime

property DateTime.DayOfWeek: DayOfWeek

member Set.Contains : value:'T -> bool

val nth : index:int -> source:seq<'T> -> 'T

Full name: Microsoft.FSharp.Collections.Seq.nth

val ( 1000 th ) : DateTime

Full name: Script.( 1000 th )

val ( 1024 th ) : DateTime

Full name: Script.( 1024 th )

val ( 2000 th ) : DateTime

Full name: Script.( 2000 th )