login
Number of elements of rows of Golomb's sequence A001462, with one less 2, interpreted as triangle: Start with first row 1. The row sum of row n-1 gives the number of elements taken from A001642 (one less 2) of row n.
7

%I #3 Mar 02 2015 16:08:50

%S 1,1,2,6,27,234,6202,1084009,4362192095

%N Number of elements of rows of Golomb's sequence A001462, with one less 2, interpreted as triangle: Start with first row 1. The row sum of row n-1 gives the number of elements taken from A001642 (one less 2) of row n.

%C a(n+1) gives row sum of row n of this triangle.

%C Conjecture: a(n) for n>1 gives first differences of Lionel Levile's sequence A014644(n) for n>=3.

%C Conjecture: Final elements of the rows form A014644 except for duplicate 2.

%e The triangle begins 1; 2; 3,3; 4,4,4,5,5,5; ...

%e Row 4: [4,4,4,5,5,5] is generated from row 3: [3,3] because there are (3) 4's and (3) 5's in row 4.

%K nonn

%O 1,3

%A _Floor van Lamoen_ and _Paul D. Hanna_, Nov 06 2005