Notamathematician
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Member for 3 years, 7 months
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Recurrence for the number of permutations with a given excedance set
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Recurrence for the number of permutations with a given excedance set
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Recurrence for the A284005
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Recurrence for the A284005
@Somos, thank you for comment! I usually check up to $10^6$.
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Permutation and its binary analog
@მამუკაჯიბლაძე, I'm sorry, but I'm not a mathematician, I'm just an experimenter and I can't even figure out the definition of the map. In simple words, do you want to say that a simpler recursion is possible if we interpolate $f(n)$?
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Existence of binary permutations with a given property
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Existence of binary permutations with a given property
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Permutation and its binary analog
@მამუკაჯიბლაძე, thank you for comment! It is Iverson brackets. If you are asking about the expression instead, then it is difficult to say why the expression looks exactly like this, because I got the whole formula as a result of experiments.
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Permutation and its binary analog
@ClaudeChaunier, thank you for comment! When $h(n)=0$, $n$ is Fibonacci number and $a(n)=n$. So prog really computes $g(-1)=0$, but never used this value in the computing of the result. Given permutation arise from a natural problem, see oeis.org/draft/A358733.
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Permutation and its binary analog
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Permutation to get Stolarsky representation from lazy Fibonacci (dual Zeckendorf) representation
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Stolarsky array and Stolarsky representation
@PeterTaylor, thank you for comment! Сould you please be a little more detailed? The definition of A200714 does not say anything about the connection with A035506, which is why the formula based on the latter (which I discovered by chance) is far from obvious to me.