A089355 A quarter-square shaped (A002620) staircase array distributing the frequency of objects counted by A047970.

1, 1, 1, 1, 2, 1, 1, 1, 3, 2, 4, 2, 2, 1, 4, 3, 8, 7, 9, 5, 5, 1, 1, 5, 4, 13, 14, 23, 20, 25, 16, 14, 7, 2, 1, 1, 6, 5, 19, 23, 44, 49, 71, 65, 75, 60, 48, 32, 18, 6, 1, 1, 7, 6, 26, 34, 73, 94, 154, 172, 232, 234, 249, 228, 195, 145, 101, 59, 27, 9, 2

Offset

1,5

Links

Table of n, a(n) for n=1..71.

Example

The array begins:
1..1..1..1..1..1..1....
...1..2..3..4..5..6....
......1..2..3..4..5....
......1..4..8.13.19....
where the fourth row counts the ordered partitions of type 221^k and type 41^k since (1 3 6 10 15 ...) + (0 1 2 3 4 ...) yields the required result.

Crossrefs

Sequence in context: A094899 A363095 A057774 * A302126 A136043 A336420

Adjacent sequences: A089352 A089353 A089354 * A089356 A089357 A089358

Keyword

nonn,tabf

Author

Alford Arnold, Dec 26 2003

Status

approved