A110095: non prime first differences
Alexandre Wajnberg
alexandre.wajnberg at skynet.be
Wed Sep 7 01:15:17 CEST 2005
Hi,
A110095 is "least non-prime sequence whose first differences are
non-prime".
I'm submitting the sequence of these first differences:
1 8 1 4 1 1 4 1 1 4 1 1 4 1 1 1 1 4 4 1 1 4 1 1 4 1 1 4 1 1 1 1 4 4 1 1
1 1 4 4 1 1 4 1 1 1 1 4 4.
Only 1's and 4's (except the "8" at the beginning).
The 4's are obviously related to the prime numbers, they correspond to
any isolated prime (the second prime of twins allways "masked");
and the 44's relate to some cousin primes (not all).
This seq (this little handmade part!) seems to be reducible to
concatenated substrings
a == 1 1 4 and
b == 1 1 1 1 4 4 :
(1 8 1 4) a a a b a a a b b a b...
I wonder
-if it's very the case (may be are there further other substrings of
1's and 4's);
-if there are super patterns in there, or possible regroupings of
aaab's and bab's?
Could someone check "longer-term"?
Thanks
Alexandre
PS: aaab's and bab's and shoo ba beloobah (ooops! sorry)
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