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Task/Hofstadter-Figure-Figure-sequences/Nim/hofstadter-figure-figure-sequences.nim

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+var cr = @[1]
+var cs = @[2]
+
+proc extendRS =
+  let x = cr[cr.high] + cs[cr.high]
+  cr.add x
+  for y in cs[cs.high] + 1 .. <x: cs.add y
+  cs.add x + 1
+
+proc ffr(n): int =
+  assert n > 0
+  while n > cr.len: extendRS()
+  cr[n - 1]
+
+proc ffs(n): int =
+  assert n > 0
+  while n > cs.len: extendRS()
+  cs[n - 1]
+
+for i in 1..10: stdout.write ffr i," "
+echo ""
+
+var bin: array[1..1000, int]
+for i in 1..40: inc bin[ffr i]
+for i in 1..960: inc bin[ffs i]
+var all = true
+for x in bin:
+  if x != 1:
+    all = false
+    break
+
+if all: echo "All Integers 1..1000 found OK"
+else: echo "All Integers 1..1000 NOT found only once: ERROR"