A333773 - OEIS

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A333773

Replace 2's with (-1)'s in ternary representation of n and sum nonzero terms with alternating signs.

0, 1, -1, 3, 2, 4, -3, -4, -2, 9, 8, 10, 6, 7, 5, 12, 13, 11, -9, -10, -8, -12, -11, -13, -6, -5, -7, 27, 26, 28, 24, 25, 23, 30, 31, 29, 18, 19, 17, 21, 20, 22, 15, 14, 16, 36, 37, 35, 39, 38, 40, 33, 32, 34, -27, -28, -26, -30, -29, -31, -24, -23, -25, -36

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OFFSET

0,4

COMMENTS

This sequence is a variant of A117966, and shares features with A065620.

Every integer appears exactly once in this sequence.

LINKS

Rémy Sigrist, Table of n, a(n) for n = 0..6561

FORMULA

a(3*n) = 3*a(n).

a(3*n+1) = 3*a(n) + (-1)^A160384(n).

a(3*n+2) = 3*a(n) - (-1)^A160384(n).