[seqfan] Correction to A093848 Variation on Golomb's sequence

Jeremy Gardiner jeremy.gardiner at btinternet.com
Tue Jun 22 11:26:48 CEST 2010


A093848 Variation on Golomb's sequence - earliest monotonic sequence
starting with a(1)=1 and satisfying a(n)=length of n-th run of consecutive
integers with same parity:

1,2,4,5,7,9,11,12,14,16,18,20,21,23,25,27,29,31,33,34,36,38,40,42,44,46,48,5
0,51,53,55,57,59,61,63,65,67,69,71,72,74,76,78,80,82,84,86,88,90,92,94,96,98
,99,101,103,105,107,109,111,113,115,117,119,121,

I get (by hand):
1,2,4,5,7,9,11,12,14,16,18,20,21,23,25,27,29,31,33,34,36,38,40,42,44,46,48,5
0,51,53,55,57,59,61,63,65,67,69,71,72,74,76,78,80,82,84,86,88,90,92,94,95,97
,99,101,103,105,107,109,111,113,115,117,119,121,

It's slightly worrying that I've noticed errors in three sequences in the
OEIS in the last week - in the other cases these were missing terms,
possibly due to transcription errors when submitting:

I would urge submitters to check that all the terms in their sequences
appear correctly in the OEIS!

Jeremy Gardiner

PS
Perhaps the complementary sequence may interesting? (not in the OEIS):

3,6,8,10,13,15,17,19,22,24,26,28,30,32,35,37,39,41,43,45,47,49,52,54,56,58,6
0,62,64,66,68,70,73,75,77,79,81,83,85,87,89,91,93,96,98,100,102,104,106,108,
110,112,114,116,118,120,123






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