William 4th was only King of England for Seven Years so the number of Gold coins minted were fewer.
He introduced a smaller Half-Sovereign in 1834 but this was not popular with the Public or in commerce.
Although Silver Crowns were not struck during the reign of Willam the Fourth, proof or pattern crown silver coins were made but are quite rare.
In Gold Coins the following were minted :
Two Pounds (only as a proof)
Gold Sovereign each year from 1831 to 1833
Small Half Sovereign in 1834 only
Larger Half Sovereign
In 1835
1836 (rarer)
1837 (Scarce)
British Valuable Coins :
Articles include :
http://greatgoldcoins.net/about/
http://greatgoldcoins.net/british-gold-coins/
http://greatgoldcoins.net/british-gold-coins/british-hammered-gold-coins/
http://greatgoldcoins.net/british-gold-coins/british-sovereigns/
http://greatgoldcoins.net/valuable-gold-coins/
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 KING WILLIAM IV PATTERN CROWN GOLD COIN ENGLAND 1837  US $6.18
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 MASSIVE The Ultimate Sportscard Collection HOT US $9,499.99
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 COUNTRY POP ROCK RB CHARTBUSTER KARAOKE CDG SET US $129.99
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 1820 KING GEORGE III GOLD FULL SOVEREIGN COIN US $478.61
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 1833 KING WILLIAM IV IIII GOLD FULL SOVEREIGN COIN US $511.03
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 Handbook British Malaya Malaysia Penang Singapore 1937 US $95.72
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All of the Gold coins of this reign are much more valuable in EF condition.
Coins of this King usually make Good Investments
