Notamathematician
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Member for 3 years, 7 months
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awarded
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Absolute oscillator in Langton's Ant
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Closed form for $a(2^m(2^n-2^p-1))$
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Conjecture on A057030
Thank you for edit! Note that I'm not a mathematician, just an experimenter with random changes in some already known natural formulas.
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Conjecture on A057030
I have no problem checking that $c(n,m)$ is working correctly. I wonder how you derive it. Why we have $c(0,m)=2m-1$? Why $c(n,m)$ has exactly this form?
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Conjecture on A057030
Sorry, I didn't get it anyway (so I can't accept the answer). Perhaps if you add more details and give examples, I will be able to figure it out.
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Conjecture on A057030
Thank you for answer! Could you clarify why $c(n,m)$ has exactly this form?
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Sequence which is related to the binary expansion of $n$ and partition numbers
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Sequence which is related to the binary expansion of $n$ and partition numbers
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Sequence which is related to the binary expansion of $n$ and partition numbers
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Sequence which is related to the binary expansion of $n$ and partition numbers
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Conjecture on numbers $k$ having only one partition into parts with same binary weight as a binary weight of $k$
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Property of some permutations of non-negative integers such that $a(n)<2^k$ iff $n<2^k$
@GerryMyerson, thank you for comment! You are absolutely right, because we have $k\geqslant0$. I guess we no need to specify this.
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Property of some permutations of non-negative integers such that $a(n)<2^k$ iff $n<2^k$
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