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A074298 First occurrence of an 'average' valued sequence of length 2n in the Kolakoski sequence (A000002). 4
1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 9, 4, 4, 3, 1, 4, 3, 1, 1, 9, 4, 4, 3, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 3, 1, 1, 1, 1, 3, 1, 1, 4, 3 (list; graph; refs; listen; history; internal format)
OFFSET

1,6

COMMENTS

a(n) is the least k such that K(k) + K(k+1) + ... + K(k + 2*n - 1) = 3*n, where K(m) = A000002(m).

LINKS

Nathaniel Johnston, Table of n, a(n) for n = 1..10000

EXAMPLE

a[1]=1, as A000002 begins 1,2 (sum 3) a[2]=1, as A000002 begins 1,2,2,1 (sum 6) a[3]=1, as A000002 begins 1,2,2,1,1,2 (sum 9).

CROSSREFS

Cf. A074296, A074297, A074299.

Sequence in context: A030558 A030557 A086997 * A176028 A031246 A031245

Adjacent sequences:  A074295 A074296 A074297 * A074299 A074300 A074301

KEYWORD

nonn

AUTHOR

Jon Perry (perry(AT)globalnet.co.uk), Sep 21 2002

EXTENSIONS

Offset corrected by Nathaniel Johnston (nathaniel(AT)nathanieljohnston.com), May 02 2011

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Last modified February 16 16:41 EST 2012. Contains 205938 sequences.