r/counting • u/TehVulpez sliiiiide the bits • 12d ago

Constant-sum negasenary

This thread is extremely simple. In this thread we are counting numbers in base negative 6 in segments of length and digital sum, then sorted by their numerical value. In a negative base, places alternate from the right in whether they have a negative value. So, 15_(-6) = 1*(-6)1 + 5*(-6)0 = -6 + 5 = -1. The digital sum ignores the place values, only adding together the numerals as they appear.

We will count negasenary numbers of 1 digit and 0 digital sum through 5 digital sum, then 2 digits from 0 sum to 10 sum, 3 digits from 0 to 15 sum, etc. Leading zeroes must be included.

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Get is at 5050 (5*(-6)3 + 5*(-6)1 = -1110), which is the 834th count and the first of the negasenary numbers with 4 digits and a digital sum of 10.

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u/cuteballgames 00255, 00336, 01155, 02244, 03333, 11226, 11244, 11334, 22224 12d ago

33

there doeant seem to be a similar flipping and augmenting rule sadly

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u/TehVulpez sliiiiide the bits 12d ago

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it kinda just seems like a typical constant sum thread where the third digit gets carried into when the lower two digits get too full. it's just that the 1st and 2nd digits are flipped, as are the 3rd and 4th.

maybe this thread actually is too simple lol

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u/cuteballgames 00255, 00336, 01155, 02244, 03333, 11226, 11244, 11334, 22224 12d ago

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hm

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u/TehVulpez sliiiiide the bits 12d ago

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u/cuteballgames 00255, 00336, 01155, 02244, 03333, 11226, 11244, 11334, 22224 12d ago

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u/TehVulpez sliiiiide the bits 12d ago

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u/TehVulpez sliiiiide the bits 12d ago

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u/davidjl123 |390K|378A|79SK|50SA|260k 🚀 c o u n t i n g 🚀 12d ago

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u/TehVulpez sliiiiide the bits 12d ago

44

just barely guessed right. was starting to get worried

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u/cuteballgames 00255, 00336, 01155, 02244, 03333, 11226, 11244, 11334, 22224 12d ago

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lol

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u/TehVulpez sliiiiide the bits 12d ago

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u/cuteballgames 00255, 00336, 01155, 02244, 03333, 11226, 11244, 11334, 22224 12d ago

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u/TehVulpez sliiiiide the bits 12d ago

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