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A088564 a(n)=sum(i=0,n,binomial(2*i,i) (mod 3)). 0
1, 3, 3, 5, 6, 6, 6, 6, 6, 8, 9, 9, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 14, 15, 15, 16, 18, 18, 18, 18, 18, 19, 21, 21, 23, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

Distinct values (i.e. 1,3,5,6,8,9,...) are given by the partial sums of the Thue-Morse sequence on alphabet (1,2) A026430. Sequence of least k such that a(k)>a(k-1) is given by A005836. For any k>=0, card{ n : a(3*A005836(k)) =a(n)}=1.

CROSSREFS

Cf. A001285, A005836, A006996.

Sequence in context: A204250 A131948 A134636 * A161560 A078796 A201929

Adjacent sequences:  A088561 A088562 A088563 * A088565 A088566 A088567

KEYWORD

nonn

AUTHOR

[Author's name was accidentally deleted], Nov 19, 2003

EXTENSIONS

Author was Michael Somos or Benoit Cloitre, I think. Apologies! - N. J. A. Sloane (njas(AT)research.att.com), Jun 13 2004.

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Last modified February 17 09:30 EST 2012. Contains 206009 sequences.