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A136103 A Catalan shaped array (A000245) of least prime signatures (A025487) based on staircase Ferrers boards; cf. A136102. +0
2
1, 2, 4, 6, 12, 8, 24, 30, 36, 60, 72, 120, 180, 360, 16, 48, 144, 210, 216, 240, 420, 432, 720, 840, 900, 1080, 1260, 1680, 1800, 2160, 2520, 3600, 5040, 5400, 6300, 7560, 10800, 12600, 15120, 25200, 37800, 75600 (list; graph; listen)
OFFSET

0,2

EXAMPLE

The array begins

1

2

4...6..12

8..24..30..36..60..72..120..180..360

16...

with 1 1 3 9 28 90 ... least prime signatures per row; hence there are 1 2 5 14 42 132 ... Catalan objects counted.

The staircases can be coded 1 2 12 360 75600 174636000 ... A006939

and there are 14 signatures dividing 360; but 5 of these also divide 12

so there are nine new signtures:

8..24..30..36..60..72..120..180..360

CROSSREFS

Cf. A000108 A000245 A006939 A025487 A136102.

Adjacent sequences: A136100 A136101 A136102 this_sequence A136104 A136105 A136106

Sequence in context: A129567 A064469 A057700 this_sequence A053146 A056675 A062857

KEYWORD

easy,nonn

AUTHOR

Alford Arnold (Alford1940(AT)aol.com), Jan 12 2008

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Last modified October 11 09:12 EDT 2008. Contains 144832 sequences.


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