From Newsgroup: rec.puzzles

David Entwistle <qnivq.ragjvfgyr@ogvagrearg.pbz> writes:

On Sat, 17 May 2025 14:03:03 +0300, Phil Carmody wrote:

What comes next in this kinda-numerical sequence:

Sort of related to the original question...

1, 2, 4, 8, 7, ?

Ubcr V unir guvf evtug... Svir. Gurl ner gur qvtvgny ebbg (gur fhz bs gur qvtvgf) va gur frevrf bs ryrira envfrq gb gur cbjre mreb, bar, gjb rgp.
Sbe gubfr jub yvxr fhpu guvatf, jul vf vg gur fnzr nf gur fhz bs gur
qvtvgf va gur frevrf bs gjb envfrq gb gur cbjre mreb, bar, gjb rgp.

Because 1+1=2!

Phil
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From Newsgroup: rec.puzzles

On Tue, 22 Jul 2025 22:06:42 +0300, Phil Carmody wrote:

Because 1+1=2!

Is that it?

I was thinking more along the lines of the following, where DR is the
digital root (the sum of the digits repeated until you get to a single
digit), why are these two sequences the same?

2^0 = 1, DR = 1
2^1 = 2, DR = 2
2^2 = 4, DR = 4
2^3 = 8, DR = 8
2^4 = 16, DR = 7
2^5 = 32, DR = 5
2^6 = 64, DR = 1
2^7 = 128, DR = 2

11^0 = 1, DR = 1
11^1 = 11, DR = 2
11^2 = 121, DR = 4
11^3 = 1331, DR = 8
11^4 = 14641, DR = 7
11^5 = 161051, DR = 5
11^7 = 1771561, DR = 1
11^7 = 19487171, DR = 2

I'm thinking it's because the digital root is a Mod(9) calculation and 11
% 9 = 2. But I may be losing the plot.
--
David Entwistle
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From Newsgroup: rec.puzzles

On Tue, 22 Jul 2025 22:06:42 +0300, Phil Carmody wrote:

Because 1+1=2!

On reflection, I see that is the reason. I've been over-thinking it and
not fully understanding the fundamentals.

Thanks.
--
David Entwistle
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From Newsgroup: rec.puzzles

On Thu, 24 Jul 2025 05:32:47 -0000 (UTC), David Entwistle wrote:

On reflection, I see that is the reason. I've been over-thinking it and
not fully understanding the fundamentals.

Or, possibly not. I'm feeling a little fragile at the moment and I need to think about this. It's all good, only numbers and a bit of a puzzle,
should be fun.
--
David Entwistle
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