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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 (list; graph; refs; listen; history; text; internal format)
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.
LINKS
Wikipedia, Zager and Evans.
Wikipedia, In The Year 2525.
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 A268332 A369521
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

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Last modified April 14 12:23 EDT 2024. Contains 371661 sequences. (Running on oeis4.)