Andrew Tomazos
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 Sep 17 awarded Benefactor Sep 17 accepted Counting Hexagons in Triangle Grid Recurrence? Sep 17 comment Counting Hexagons in Triangle Grid Recurrence? This is correct, thanks. I was fooled by the N=4 case into thinking that all hexagons that touch all three sides must have one side of n-2, which is true for N=4 but not true for higher values of N. For example for N=5 we can have a hexagon that results from chopping off triangles of side 2 removed from each corner of the grid. Sep 16 revised Counting Hexagons in Triangle Grid Recurrence? added 114 characters in body Sep 16 awarded Promoter Sep 14 asked Counting Hexagons in Triangle Grid Recurrence? Sep 8 accepted N unlabelled balls in M labeled buckets Sep 8 comment N unlabelled balls in M labeled buckets This proves it incorrect, however I still don't see what went wrong in my reasoning. The number of ways to put N labelled balls in M labelled buckets is $M^N$ correct? So why can't I just divide by the number of permutations of N balls to arrive at the unlabelled ball case? Sep 8 comment N unlabelled balls in M labeled buckets Why isn't my expression correct? Sep 8 asked N unlabelled balls in M labeled buckets Aug 31 accepted “Sum” over logical and? Aug 31 revised Hyper Birthday Paradox? added 7 characters in body Aug 31 asked “Sum” over logical and? Aug 28 accepted Closed form for $T(1) = K, T(x) = xT(x-1) + x$? Aug 28 comment Closed form for $T(1) = K, T(x) = xT(x-1) + x$? Yes $x \in \mathbb{Z^+}$ Aug 28 asked Closed form for $T(1) = K, T(x) = xT(x-1) + x$? Aug 27 revised Combinations of nonincreasing sequences within bounds? deleted 10 characters in body Aug 27 comment Combinations of nonincreasing sequences within bounds? See my answer for what I was looking for. I guess you were thinking general solution or nothing. I just wanted a way to calculate it. Aug 27 answered Combinations of nonincreasing sequences within bounds? Aug 26 comment Combinations of nonincreasing sequences within bounds? @GerryMyerson: I think you may have misread the problem. I have added an example where $a_1 > a_2$.