Years when Ramadan and Rosh Hashana coincide

[Jonathan Post]

Right now, in 2006, we have a rare instance of the holiest days of Judaism
and Islam coinciding.  Which other years have this coincidence?

Cf.
 A057348 <http://www.research.att.com/%7Enjas/sequences/A057348>
 Days in months in the Islamic calendar starting from Muharram, 1 AH. The
twelfth month has 30 days in a leap year.
 A056998 <http://www.research.att.com/%7Enjas/sequences/A056998>
 Number of days in months of Islamic calendar.

 A118661 <http://www.research.att.com/%7Enjas/sequences/A118661>
 Day of the month in which the *Jewish* New Year occurs in the Gregorian
year n.
 A118662 <http://www.research.att.com/%7Enjas/sequences/A118662>
 Month in which the *Jewish* New Year occurs in the Gregorian year n.

A Rare Coming-Together of the Jewish and Muslim Holy
Seasons<http://www.latimes.com/news/local/la-me-beliefs23sep23,1,1647638.story>
September 23, 2006
 By K. Connie Kang / [Los Angeles] Times Staff Writer
http://www.latimes.com/news/local/la-me-beliefs23sep23,1,1647638.story?ctrack=1&cset=true

 Joining 1.28 billion Muslims and 14.9 million Jews around the world,
Southern California adherents of the two faith traditions are observing
their respective holy seasons starting today. It's the first full day of
Rosh Hashana — the Jewish New Year.

It's the first full day of Rosh Hashana — the Jewish New Year — and also the
beginning of the month of Ramadan.

Rosh Hashana, the start of the 10 High Holy Days leading up to Yom Kippur,
the Day of Atonement, began at sundown Friday. Ramadan, the Muslim month of
fasting, prayer and charity, started today.

But a decade ago, Rosh Hashana was observed in September and the start of
Ramadan fell in January*.* How can this be?
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