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A111729
Historical progression of years from the song "In The Year 2525" by Denny Zager and Rick Evans.
0
2525, 3535, 4545, 5555, 6565, 7510, 8510, 9595, 2525
OFFSET
1,1
COMMENTS
Sequence is potentially cyclic. #1 Billboard hit 1969. Last "2525" added because first verse repeats at the end. Note that it also begins to transition into the second verse again after this in some editions, causing "3535" to be faintly audible. The lyrics of the song also imply the sequence is theoretically cyclic and recurring, with the final 2525 being the beginning of the second iteration.
FORMULA
for n < 6 or n=8, a(n) = 101*(10n+15). For n=6 or 7, a(n) is irregular, and is equal to 101*(10n+15) with the exception that the final two digits are fixed at 10. Assuming the cyclic sequence, for n > 8, a(n) = f(n mod 8), with the exception that when n mod 8 = 0, take a(n) = n(8) = 9595.
EXAMPLE
The opening lyric is "In the year 2525/if man is still alive/if woman can survive/they may find..." hence a(1)=2525.
CROSSREFS
Sequence in context: A031984 A045213 A251918 * A252288 A373704 A268332
KEYWORD
nonn,less
AUTHOR
Jeff Cohen (jcohen(AT)cpan.org), Nov 18 2005
EXTENSIONS
a(9)=2525 and formula added by Gregory Koch, Mar 05 2011
STATUS
approved