cp's OEIS Frontend

A113730 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.

%I A113730 #4 Mar 02 2015 16:08:50
%S A113730 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 A113730 10,11,11,11,11,38,38,38,38,38,38,37,37,37,37,37,37,36,36,36,36,36,36,
%U A113730 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 A113730 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 A113730 The triangle begins
%e A113730 1;
%e A113730 2;
%e A113730 3,3;
%e A113730 5,5,5,4,4,4;
%e A113730 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 A113730 38,38,38,38,38,38,...,13,12,12,12,12,12,12,12,12,12,12,12;
%e A113730 From row 4 [5,5,5,4,4,4] which was filled from right to left we fill row 4
%e A113730 from left to right with (5) times a 6 and (5) times a 7, (5) times an 8, (4)
%e A113730 times a 9, (4) times a 10 and (4) times an 11.
%Y A113730 Cf. A001462 (Golomb's sequence), A113676, A113731, A113734.
%K A113730 nonn,tabf
%O A113730 1,2
%A A113730 _Floor van Lamoen_ and _Paul D. Hanna_, Nov 08 2005