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Dec 13, 2018 at 14:07 comment added Will Sawin @1Spectre1 It's obvious. One counts paths of height $\leq k$, the other of height $=k$, so subtracting cancels the lower-height paths.
Dec 13, 2018 at 13:17 comment added 1Spectre1 @WillSawin In OEIS A080936, I couldn't see how to compute this: $T(n, k) = A080934(n, k) - A080934(n, k-1).$
Dec 13, 2018 at 7:27 vote accept 1Spectre1
Dec 12, 2018 at 19:18 comment added Will Sawin @1ENİGMA1 Yes, the same method works.
Dec 12, 2018 at 19:17 history edited Will Sawin CC BY-SA 4.0
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Dec 12, 2018 at 17:00 history edited Will Sawin CC BY-SA 4.0
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Dec 12, 2018 at 16:48 comment added 1ENİGMA1 Can we obtain formulae for $s_1+s_2+s_3+s_4=n-1$ ?
Dec 12, 2018 at 16:48 history edited Will Sawin CC BY-SA 4.0
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Dec 12, 2018 at 16:32 history answered Will Sawin CC BY-SA 4.0