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.

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

Offset

1,2

Links

Table of n, a(n) for n=1..79.

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: A260718 A064631 A347293 * A154404 A225577 A265531

Adjacent sequences: A113727 A113728 A113729 * A113731 A113732 A113733

Keyword

nonn,tabf

Author

Floor van Lamoen and Paul D. Hanna, Nov 08 2005

Status

approved