Can you fill in the blanks in the following sequence?

1,1,4,2,7,3,17,4,20,?,37,6,47,5,51,?,61,3,70,3,9?,2,100,1

Since there are 24 entries and there is "season" in the title, perhaps 4 groups of 6, one group for each season. But 24 is also divisible by 12 and there are 12 months in the year, so maybe two numbers per month. There does seem to be a cycle of 2-ness. The first of each pair seems to be in a monotonically increasing series: 1,4,7,17, ..., and the second always single digit, rising 1, 2, 3, 4, ... but then descending ... 5, ?, 3, 3, 2, 1, with that bewildering plateau at 3. If this is indeed related to the calendar, the single digits could have to do with days of the week, since they never exceed 7.

Posted by Charlie on 2003-02-19 10:08:48