14 Oct
October 2010 Math Fact
Here's a message I received:
There is an interesting fact about October 2010. The month is unusual in that it has 5 Fridays, 5 Saturdays, and 5 Sundays. This happens once in 823 years. Such a month is considered propitious of a good fortune. Send this note to 8 good people and in 4 days you'll receive a lot of money. this is according to the sacred teaching Feng Shui. And if you won't distribute the note, the luck will be gone.
To send or not to send? This is the question.
However, October is not over yet. There is is plenty of time to make one's mind. Meanwhile I post the message here. Who knows? Perhaps this will count in the eyes of Feng Shui.
Related posts:
Patrick Vennebush has observed that the phenomenon will actually occur in 2021 which can be easily verified with the computer calendar. How do I know that he did? I have sent a message to the Math 2.0 Yahoo group, after all. And he replied.
October 14th, 2010 at 11:02 pmPatrick latter added the following
October 16th, 2010 at 7:09 amThe explanation:
It's indeed a pleasant surprise to observe the cycle 11 6 5 6. It comes from the sequence
1 2 1 1 1 2 1 1 1 2 1 1 1 2 ...
(starting with 2010 and writing 2 for a leap year, and 1 for a regular one) and the running sum:
1 3 4 5 6 8 9 10 11 13 14 15 16 18 19 20 21 23 24 25 26 28 29 30 31 33 34 35 ...
The multiples of 7 come in the cycle 11 6 5 6.
6 comes from the 6-term sequence (1 1 2 1 1 1) or from another 6-term sequence (1 1 1 2 1 1)
5 comes from the 5-term sequence (2 1 1 1 2)
So that 6 (1 1 2 1 1 1) is naturally followed by 5 (2 1 1 1 2) followed by 6 (1 1 1 2 1 1).
The sequence that starts with (1 2) has 11 terms: (1 2 1 1 1 2 1 1 1 2 1).
Of course for January, the cycle pattern is somehwat different. For January, the sequence to start with is
1 1 2 1 1 1 2 1 1 1 ...
So the cycle pattern is
6 5 6 11
October 16th, 2010 at 7:10 am