Depends on how the song is interpreted. The intention is probably “by the 𝑛ᵗʰ day of Christmas, my true love had given to me [list of 𝑛+(𝑛–1)+…1 items]” but the actual grammar means that by day 12, you’d have received 𝑛(13–𝑛) of the 𝑛ᵗʰ item, or
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 gold rings
36 calling birds
30 French hens
22 turtle doves
12 partriges in pear trees
Total is 184 birds. By day 7, only 69 birds, up 50 % from 46 by day 6. At least the number of received birds stays constant (23) on days 8-12. The geese technically-a-reproducing are not accounted for, as the eggs might not be fertilized and take several weeks to hatch.
Depends on how the song is interpreted. The intention is probably “by the 𝑛ᵗʰ day of Christmas, my true love had given to me [list of 𝑛+(𝑛–1)+…1 items]” but the actual grammar means that by day 12, you’d have received 𝑛(13–𝑛) of the 𝑛ᵗʰ item, or
Total is 184 birds. By day 7, only 69 birds, up 50 % from 46 by day 6. At least the number of received birds stays constant (23) on days 8-12. The geese technically-a-reproducing are not accounted for, as the eggs might not be fertilized and take several weeks to hatch.
Also explored in an awesome video by Vihart: YouTube/Piped/Vimeo
Oh damn I did not know Vihart was still going! Tis a good day.
Curse you Carl Friedrich Gauss and your distribution! Is there no escape?!?
It’s a parabola actually, the function is –𝑛²+13𝑛.
The reason Gauss is mentioned in Vihart’s video is that he famously invented the formula for triangular numbers.
this is why i come to lemmy
this is why i lemmy
does each maid come with a cow (or goat) they are milking? within a month (35 days) some of those goose eggs will hatch too.
Fourty! Golden! Rings!
You should just be grateful your true love didn’t give you any hedgehogs.
I would be so happy to receive 42 geese. It gives a really healthy head start to my goose army.