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A155586 A modified Catalan sequence array. +0
2
1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 5, 2, 1, 1, 1, 14, 5, 2, 1, 1, 1, 42, 14, 5, 2, 1, 1, 1, 132, 42, 14, 5, 2, 1, 1, 1, 429, 132, 42, 14, 5, 2, 1, 1, 1, 1430, 429, 132, 42, 14, 5, 2, 1, 1, 1, 4862, 1430, 429, 132, 42, 14, 5, 2, 1, 1, 1, 16796, 4862, 1430, 429, 132, 42, 14, 5, 2, 1, 1 (list; table; graph; listen)
OFFSET

0,8

COMMENT

Row sums are A155587. Stieltjes associate array to A091491.

FORMULA

Number triangle T(n,k)=[k<=n]*if(k=0,1,A000108(n-k))

EXAMPLE

Triangle begins

1,

1, 1,

1, 1, 1,

1, 2, 1, 1,

1, 5, 2, 1, 1,

1, 14, 5, 2, 1, 1,

1, 42, 14, 5, 2, 1, 1,

1, 132, 42, 14, 5, 2, 1, 1,

1, 429, 132, 42, 14, 5, 2, 1, 1,

1, 1430, 429, 132, 42, 14, 5, 2, 1, 1

CROSSREFS

Sequence in context: A082063 A099940 A157249 this_sequence A069739 A066060 A008550

Adjacent sequences: A155583 A155584 A155585 this_sequence A155587 A155588 A155589

KEYWORD

easy,nonn,tabl

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Jan 24 2009

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Last modified December 20 16:54 EST 2009. Contains 171081 sequences.


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