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A122919 Inverse of Riordan array (1/(1+x+x^2),x/(1+x)^2). +0
3
1, 1, 1, 3, 3, 1, 9, 10, 5, 1, 28, 34, 21, 7, 1, 90, 117, 83, 36, 9, 1, 297, 407, 319, 164, 55, 11, 1, 1001, 1430, 1209, 702, 285, 78, 13, 1, 3432, 5070, 4550, 2898, 1350, 454, 105, 15, 1, 11934, 18122, 17068, 11696, 6052 (list; table; graph; listen)
OFFSET

0,4

COMMENT

Row sums are A097613. Diagonal sums are A122920. Inverse of A122917.

FORMULA

Riordan array ((1-3x+2x^2-(1-x)sqrt(1-4x))/(2x^2),(1-2x-sqrt(1-4x))/(2x))

EXAMPLE

Triangle begins

1,

1, 1,

3, 3, 1,

9, 10, 5, 1,

28, 34, 21, 7, 1,

90, 117, 83, 36, 9, 1,

297, 407, 319, 164, 55, 11, 1,

1001, 1430, 1209, 702, 285, 78, 13, 1

CROSSREFS

Sequence in context: A078033 A108075 A084145 this_sequence A157401 A143911 A131889

Adjacent sequences: A122916 A122917 A122918 this_sequence A122920 A122921 A122922

KEYWORD

easy,nonn,tabl

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Sep 19 2006

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Last modified December 7 08:40 EST 2009. Contains 170430 sequences.


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