A113730 - OEIS

%I #4 Mar 02 2015 16:08:50

%S 1,2,3,3,5,5,5,4,4,4,6,6,6,6,6,7,7,7,7,7,8,8,8,8,8,9,9,9,9,10,10,10,

%T 10,11,11,11,11,38,38,38,38,38,38,37,37,37,37,37,37,36,36,36,36,36,36,

%U 35,35,35,35,35,35,34,34,34,34,34,34,34,33,33,33,33,33,33,33,32,32,32,32

%N A variant of Golomb's sequence interpreted as a triangle: Start with a(1)=1 as first row, filled from left to right; fill row n+1 with the natural numbers continuing from row n in alternating order, with multiplicity according to the numbers given in row n in alternating order.

%e The triangle begins

%e 1;

%e 2;

%e 3,3;

%e 5,5,5,4,4,4;

%e 6,6,6,6,6,7,7,7,7,7,8,8,8,8,8,9,9,9,9,10,10,10,10,11,11,11,11;

%e 38,38,38,38,38,38,...,13,12,12,12,12,12,12,12,12,12,12,12;

%e From row 4 [5,5,5,4,4,4] which was filled from right to left we fill row 4

%e from left to right with (5) times a 6 and (5) times a 7, (5) times an 8, (4)

%e times a 9, (4) times a 10 and (4) times an 11.

%Y Cf. A001462 (Golomb's sequence), A113676, A113731, A113734.

%K nonn,tabf

%O 1,2

%A _Floor van Lamoen_ and _Paul D. Hanna_, Nov 08 2005