8
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Can you tell the next element of this history function?

It is meant and important that mathematics tag isn't here!

I save you the time to search on OEIS, you won't find it :)

PS: I did post this puzzle yesterday but I replaced it with this one with improvements :)

  • 1950 $\rightarrow$ 0
  • 1951 $\rightarrow$ 1
  • 1952 $\rightarrow$ 1
  • 1953 $\rightarrow$ 2
  • 1954 $\rightarrow$ 2
  • 1955 $\rightarrow$ 0
  • 1956 $\rightarrow$ 1
  • 1957 $\rightarrow$ 1
  • 1958 $\rightarrow$ 4
  • 1959 $\rightarrow$ 2
  • 1960 $\rightarrow$ 3
  • 1961 $\rightarrow$ 1
  • 1962 $\rightarrow$ 2
  • 1963 $\rightarrow$ 3
  • 1964 $\rightarrow$ 3
  • 1965 $\rightarrow$ 3
  • 1966 $\rightarrow$ 2
  • 1967 $\rightarrow$ 4
  • 1968 $\rightarrow$ 5
  • 1969 $\rightarrow$ 4
  • 1970 $\rightarrow$ 6
  • 1971 $\rightarrow$ 4
  • 1972 $\rightarrow$ 5
  • 1973 $\rightarrow$ 8
  • 1974 $\rightarrow$ 8
  • 1975 $\rightarrow$ 7
  • 1976 $\rightarrow$ 9
  • 1977 $\rightarrow$ 10
  • 1978 $\rightarrow$ 9
  • 1979 $\rightarrow$ 8
  • 1980 $\rightarrow$ 7
  • 1981 $\rightarrow$ 8
  • 1982 $\rightarrow$ 9
  • 1983 $\rightarrow$ 8
  • 1984 $\rightarrow$ 9
  • 1985 $\rightarrow$ 9
  • 1986 $\rightarrow$ 9
  • 1987 $\rightarrow$ 9
  • 1988 $\rightarrow$ 9
  • 1989 $\rightarrow$ 9
  • 1990 $\rightarrow$ 9
  • 1991 $\rightarrow$ 9
  • 1992 $\rightarrow$ 9
  • 1993 $\rightarrow$ 9
  • 1994 $\rightarrow$ 9
  • 1995 $\rightarrow$ 10
  • 1996 $\rightarrow$ 9
  • 1997 $\rightarrow$ 10
  • 1998 $\rightarrow$ 9
  • 1999 $\rightarrow$ 9
  • 2000 $\rightarrow$ 10
  • 2001 $\rightarrow$ 10
  • 2002 $\rightarrow$ 10
  • 2003 $\rightarrow$ 9
  • 2004 $\rightarrow$ 11
  • 2005 $\rightarrow$ 12
  • 2006 $\rightarrow$ 11
  • 2007 $\rightarrow$ 10
  • 2008 $\rightarrow$ 11
  • 2009 $\rightarrow$ 10
  • 2010 $\rightarrow$ 12
  • 2011 $\rightarrow$ 12
  • 2012 $\rightarrow$ 13
  • 2013 $\rightarrow$ 12
  • 2014 $\rightarrow$ 12
  • 2015 $\rightarrow$ 12
  • 2016 $\rightarrow$ 14
  • 2017 $\rightarrow$ 13
  • 2018 $\rightarrow$ 14
  • 2019 $\rightarrow$ 14
  • 2020 $\rightarrow$ ?

Values: 0 1 1 2 2 0 1 1 4 2 3 1 2 3 3 3 2 4 5 4 6 4 5 8 8 7 9 10 9 8 7 8 9 8 9 9 9 9 9 9 9 9 9 9 9 10 9 10 9 9 10 10 10 9 11 12 11 10 11 10 12 12 13 12 12 12 14 13 14 14

Hints

20 10 2020

Time for an hint!

All years before 1950 are valued to -7.

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5
  • 3
    $\begingroup$ Just for clarity: when you call it a "history function", are you specifically telling us that the year-like numbers do actually represent years? $\endgroup$
    – Gareth McCaughan
    Oct 16, 2020 at 10:44
  • 2
    $\begingroup$ @GarethMcCaughan, yes! input numbers are years :) $\endgroup$
    – JKHA
    Oct 16, 2020 at 11:26
  • 3
    $\begingroup$ With these years, and numbers in this ballpark, I've been so sure in my head that this is something to do with rot13(Sbezhyn 1) that I now can't see any other possibilities. I'm guessing it's not or I would have spotted it by now... Come on head, get empty again! $\endgroup$
    – Stiv
    Oct 16, 2020 at 12:06
  • $\begingroup$ Is, for instance, binary calculation / observation (eg numbers of bits) considered as 'maths'? $\endgroup$
    – Déjà vu
    Oct 16, 2020 at 13:07
  • $\begingroup$ @e2-e4, for math and computer-science tag, I could do the same remark :) I really like your nickname by the way ;) $\endgroup$
    – JKHA
    Oct 16, 2020 at 15:43

1 Answer 1

4
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It is

10

Which is determined by...

The number of FIA Formula One World Championship races held in that year, minus seven. There are (so far) 17 confirmed races for 2020, and so 17 - 7 = 10

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2
  • 4
    $\begingroup$ Oof. @Stiv (and many others) are gonna punch themselves after that revelation :P $\endgroup$ Oct 21, 2020 at 2:00
  • 5
    $\begingroup$ GOSH, I WAS RIGHT! $\endgroup$
    – Stiv
    Oct 21, 2020 at 6:40

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