Data update

Task/Sylvesters-sequence/Pluto/sylvesters-sequence.pluto

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+require "bignum"
+
+local sylvester = {bigint.two}
+mpz.init() -- use GMP
+mpq.init()
+local a = mpz.set(1, 2)
+local count = 1
+while true do
+    local next = mpz.get(a) + 1
+    sylvester:insert(next)
+    count += 1
+    if count == 10 then break end
+    mpz.mul(a, next)
+end
+mpz.clear(a)
+print("The first 10 terms in the Sylvester sequence are:")
+print(sylvester:mapped(|e| -> e:tostring()):concat("\n"))
+
+a = mpq.set(a, 0)
+for sylvester as s do mpq.add(a, bigrat.recip(s)) end
+local sum_recip = mpq.get(a)
+mpq.clear(a)
+print("\nThe sum of their reciprocals as a rational number is:")
+print(sum_recip)
+print("\nThe sum of their reciprocals as a decimal number (to 211 places) is:")
+print(sum_recip:todecimal(211))