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A089355 A quarter-square shaped (A002620) staircase array distributing the frequency of objects counted by A047970. +0
1
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 (list; graph; listen)
OFFSET

1,5

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: A120221 A094899 A057774 this_sequence A136043 A096815 A124445

Adjacent sequences: A089352 A089353 A089354 this_sequence A089356 A089357 A089358

KEYWORD

nonn,tabf

AUTHOR

Alford Arnold (Alford1940(AT)aol.com), Dec 26 2003

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Last modified November 27 14:50 EST 2009. Contains 167570 sequences.


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