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 '20 at 10:44
  • 2
    $\begingroup$ @GarethMcCaughan, yes! input numbers are years :) $\endgroup$ – JKHA Oct 16 '20 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 '20 at 12:06
  • $\begingroup$ Is, for instance, binary calculation / observation (eg numbers of bits) considered as 'maths'? $\endgroup$ – Breaking not so bad Oct 16 '20 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 '20 at 15:43
4
$\begingroup$

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 $\endgroup$ – Lukas Rotter Oct 21 '20 at 2:00
  • 5
    $\begingroup$ GOSH, I WAS RIGHT! $\endgroup$ – Stiv Oct 21 '20 at 6:40

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