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   julesh (julesh@mathstodon.xyz)'s status on Wednesday, 25-Dec-2024 19:34:27 JST julesh

   The total number of gifts give to you by your true love up to and including the 𝑛th day of Christmas is
   \( \frac{n (n + 1) (n + 2)}{6} \)

   https://oeis.org/A000292

   • Embed this notice
     julesh (julesh@mathstodon.xyz)'s status on Wednesday, 25-Dec-2024 19:44:40 JST julesh

     in reply to

     If you take the total number of gifts given to you by your true love up to an including the 𝑛th day of Christmas and then double it, you get the sum of squares of eigenvalues of the spin operator for a spin-𝑛/2 particle

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     julesh (julesh@mathstodon.xyz)'s status on Wednesday, 25-Dec-2024 19:51:11 JST julesh

     in reply to

     Here is a funny Haskell implementation:
     ghci> let foo n = sum [p*q | p <- [0..n], q <- [0..n], p + q == n + 1]

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     scmbradley (scmbradley@mathstodon.xyz)'s status on Wednesday, 25-Dec-2024 19:53:35 JST scmbradley

     in reply to

     @julesh fiiive gooold sets equipped with two binary operations such that (etc etc)

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     julesh (julesh@mathstodon.xyz)'s status on Wednesday, 25-Dec-2024 20:20:08 JST julesh

     in reply to

     Quick calculation of the total number of gifts your true love has sent to you by Twelfth Night:

     12 drummers drumming
     22 pipers piping
     30 lords a-leaping
     36 ladies dancing
     40 maids a-milking
     42 swans a-swimming
     42 geese a-laying
     40 goooooooold riiiiiiiings
     36 calling birds
     30 French hens
     22 turtle doves
     and 12 partridges in 12 pear trees

     for a grand total of 364 gifts (or 376 if you count the pear trees separately)