Next year, 2025, is the only square year most of us will see in our lifetimes (45 x 45). The last was 1936 (44 x 44), the next is 2116 (46 x 46)
@crk5 Yesterday I also learnt that it’s the square of the addition of all integers from 1 to 9, (1+2+3+4+5+6+7+8+9=45) and also the sum of the cube of each of these integers.
@Vive_Levant @crk5
I wish there were a shorthand for this like there is for factorials (!).
S(n) (where S(n)=(n*(n÷1))÷2) doesn't cut it.
@crk5 I'd be 122. Challenge accepted.
I was thinking about this recently, and I’m happy to note that my mother will get to experience two square years.
@crk5 The Romans had it better. They got a square year every now and then.
PS: on the other hand, they had none at all during the republic
However, if we fall back to TRIANGULAR numbers instead of squares, I got 1953, we just missed 2016, and, with some Medical breakthroughs, maybe I can make it to 2080.
@crk5 Good thing the number 45 has no significance….
@crk5
I will definitely not be around for the next time when a year in our calendar can be expressed as a sum of cubes from 1 ... n (n = 9 for 2025).
@crk5 My father was born in 1936. So he is one of not many who will live in two square years. Hope so.
@crk5 Kinda sad that this year I saw probably the only total solar eclipse I'll ever see
@crk5
So we can shorthand all dates as 45²?
@crk5 damn you! You said 'most'! I can't nitpick now
@crk5 Thanks Ermin!