Observations on A100004

JEREMY GARDINER jeremy.gardiner at btinternet.com
Mon Nov 8 14:41:35 CET 2004

It appears that, taking A100004:
a(n) = (-1/n), where (k/n) is the Kronecker symbol

and replacing +1 with 0 and -1 with 1, we obtain A038189:
Bit to left of least significant bit in binary expansion of n.

Alternatively, replacing -1 with 0 we obtain (allowing for offset) A014577:
The regular paper-folding (or dragon curve) sequence.

Jeremy Gardiner
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