|
Search: id:A113730
|
|
|
| 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. |
|
+0 3
|
|
| 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, 10, 11, 11, 11, 11, 38, 38, 38, 38, 38, 38, 37, 37, 37, 37, 37, 37, 36, 36, 36, 36, 36, 36, 35, 35, 35, 35, 35, 35, 34, 34, 34, 34, 34, 34, 34, 33, 33, 33, 33, 33, 33, 33, 32, 32, 32, 32
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
EXAMPLE
|
The triangle begins
1;
2;
3,3;
5,5,5,4,4,4;
6,6,6,6,6,7,7,7,7,7,8,8,8,8,8,9,9,9,9,10,10,10,10,11,11,11,11;
38,38,38,38,38,38,...,13,12,12,12,12,12,12,12,12,12,12,12;
From row 4 [5,5,5,4,4,4] which was filled from right to left we fill row 4
from left to right with (5) times a 6 and (5) times a 7, (5) times an 8, (4)
times a 9, (4) times a 10 and (4) times an 11.
|
|
CROSSREFS
|
Cf. A001462 (Golomb's sequence), A113676, A113731, A113734.
Sequence in context: A081768 A072923 A131922 this_sequence A154404 A083662 A130149
Adjacent sequences: A113727 A113728 A113729 this_sequence A113731 A113732 A113733
|
|
KEYWORD
|
nonn,tabf
|
|
AUTHOR
|
Floor van Lamoen (fvlamoen(AT)hotmail.com) and Paul D. Hanna (pauldhanna(AT)juno.com), Nov 08 2005
|
|
|
Search completed in 0.002 seconds
|