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A122919 Inverse of Riordan array (1/(1+x+x^2),x/(1+x)^2). 2
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; refs; listen; history; internal format)
OFFSET

0,4

COMMENTS

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: A193824 A108075 A084145 * A188513 A157401 A143911

Adjacent sequences:  A122916 A122917 A122918 * A122920 A122921 A122922

KEYWORD

easy,nonn,tabl

AUTHOR

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

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Last modified February 16 23:45 EST 2012. Contains 205978 sequences.