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A137992 A014137 (= partial sums of Catalan numbers A000108) mod 3. 2
1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

As usual, "mod 3" means to chose the unique representative in { 0,1,2 } of the equivalence class modulo 3Z.

FORMULA

a(n) = sum( k=0..n, C(k) ) (mod 3), where C(k) = binomial(2k,k)/(k+1)

a(n) = 1 <=> n = 2 A137821(m) for some m (with A137821(0):=0).

PROG

(PARI) A137992(n) = lift( sum( k=0, n, binomial( 2*k, k )/(k+1), Mod(0, 3) ))

CROSSREFS

Cf. A014137, A000108, A137821-A137824, A107755; A014138(n)+1 = a(n+1) (mod 3).

Sequence in context: A190775 A016154 A029343 * A047654 A058487 A062243

Adjacent sequences:  A137989 A137990 A137991 * A137993 A137994 A137995

KEYWORD

easy,nonn

AUTHOR

M. F. Hasler (www.univ-ag.fr/~mhasler), Mar 16 2008

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Last modified February 14 16:48 EST 2012. Contains 205635 sequences.