A124735 Table with all sequences of nonnegative integers sorted first by total plus length, then by length and finally lexicographically.

0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 3, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 4, 0, 3, 1, 2, 2, 1, 3, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 4, 1, 3, 2, 2, 3, 1, 4, 0, 0, 0, 3, 0, 1, 2, 0, 2, 1, 0, 3, 0, 1, 0

Offset

1,5

Comments

This can be regarded as a table in two ways: with each weak composition as a row, or with the weak compositions of each integer as a row. The first way has A124736 as row lengths and A124748 as row sums; the second has A001792 as row lengths and A001787 as row sums.

This sequence includes every finite sequence of nonnegative integers.

Links

Table of n, a(n) for n=1..105.

Formula

a(n) = A124734(n) - 1.

Example

The table starts:
0
1; 0 0
2; 0 1; 1 0; 0 0 0

Crossrefs

Cf. A108730, A124736, A124748, A001792, A001787, A124734, A066099.

Sequence in context: A269249 A182423 A163510 * A064874 A286563 A216282

Adjacent sequences: A124732 A124733 A124734 * A124736 A124737 A124738

Keyword

easy,nonn,tabf

Author

Franklin T. Adams-Watters, Nov 06 2006

Status

approved