A299492 - OEIS

A299492

Solution a( ) of the complementary equation a(n) = b(n-1) + b(n-2) + b(n-3), where a(0) = 2, a(1) = 4, a(2) = 5; see Comments.

2, 4, 5, 10, 16, 21, 24, 28, 32, 36, 39, 42, 46, 50, 54, 57, 61, 65, 70, 74, 78, 82, 86, 90, 94, 98, 102, 106, 110, 115, 119, 124, 128, 132, 136, 140, 144, 148, 152, 156, 160, 164, 169, 173, 177, 181, 185, 189, 193, 197, 201, 204, 208, 212, 216, 220, 224

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OFFSET

0,1

COMMENTS

From the Bode-Harborth-Kimberling link:

a(n) = b(n-1) + b(n-2) + b(n-3) for n > 2;

b(0) = least positive integer not in {a(0),a(1),a(2)};

b(n) = least positive integer not in {a(0),...,a(n),b(0),...,b(n-1)} for n > 1.

Note that (b(n)) is strictly increasing and is the complement of (a(n)).

See A022424 for a guide to related sequences.

LINKS

Table of n, a(n) for n=0..56.