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A147720 Riordan array (1, x(1-x)/(1-3x)). +0
5
1, 0, 1, 0, 2, 1, 0, 6, 4, 1, 0, 18, 16, 6, 1, 0, 54, 60, 30, 8, 1, 0, 162, 216, 134, 48, 10, 1, 0, 486, 756, 558, 248, 70, 12, 1, 0, 1458, 2592, 2214, 1168, 410, 96, 14, 1, 0, 4374, 8748, 8478, 5160, 2150, 628, 126, 16 (list; table; graph; listen)
OFFSET

0,5

COMMENT

Array [0,2,1,0,0,0,....] DELTA [1,0,0,0,......] for Deleham DELTA as in A084938.

Row sums are A001835. Diagonal sums are related to A030186.

Row sums of inverse are essentially A091593. A147720*A007318 is A147721.

FORMULA

Sum_{k, 0<=k<=n}T(n,k)*x^k = A000007(n), A001835(n), A147722(n), A084120(n) for x = 0, 1, 2, 3 respectively. [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 15 2008]

EXAMPLE

Triangle begins

1,

0, 1,

0, 2, 1,

0, 6, 4, 1,

0, 18, 16, 6, 1,

0, 54, 60, 30, 8, 1,

0, 162, 216, 134, 48, 10, 1

CROSSREFS

Sequence in context: A122930 A066387 A011312 this_sequence A127631 A122538 A090238

Adjacent sequences: A147717 A147718 A147719 this_sequence A147721 A147722 A147723

KEYWORD

easy,nonn,tabl

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Nov 11 2008

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Last modified November 24 14:25 EST 2009. Contains 167438 sequences.


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