A355906 a(0) = 0; for n >= 1, a(n) = -(3/2)*(a(n-1)+A355905(n-1)).

0, 0, -3, 3, -6, 9, -15, 21, -33, 48, -75, 111, -168, 252, -381, 570, -858, 1287, -1932, 2898, -4350, 6525, -9789, 14682, -22026, 33039, -49560, 74340, -111513, 167268, -250905, 376356, -564537, 846804, -1270209, 1905312, -2857971, 4286955, -6430434, 9645651

Offset

0,3

Comments

When n is odd, a(n) is the largest multiple of 3 whose NST representation has n digits. When n is even, a(n) is the smallest multiple of 3 with that property.

Links

Table of n, a(n) for n=0..39.

Don Knuth, Ambidextrous Numbers, Preprint, September 2022. See b_n, (7.3).

Crossrefs

Cf. A355904, A355905, A355907-A355913.

Sequence in context: A293675 A050337 A299473 * A022086 A097135 A293677

Adjacent sequences: A355903 A355904 A355905 * A355907 A355908 A355909

Keyword

sign

Author

N. J. A. Sloane, Sep 18 2022

Extensions

More terms from Jinyuan Wang, Sep 29 2022

Status

approved