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A141343 Riordan array (1,x/sqrt(2-sqrt(1+4x))). 2
1, 0, 1, 0, 2, 1, 0, 2, 4, 1, 0, 4, 8, 6, 1, 0, 2, 16, 18, 8, 1, 0, 12, 24, 44, 32, 10, 1, 0, -12, 48, 90, 96, 50, 12, 1, 0, 72, 48, 180, 240, 180, 72, 14, 1, 0, -190, 160, 308, 544, 530, 304, 98, 16, 1, 0, 700, -40, 600, 1120, 1372, 1032, 476, 128 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
0,5
COMMENTS
Factorizes as (1,xc(-x))*(1,x(1+x)/(1-2x)) where c(x) is the g.f. of A000108.
Row sums are A141344.
Triangle T(n,k), 0<=k<=n, read by rows, given by [0, 2, -1, -1, -1, -1, -1, -1, -1, ...] DELTA [1, 0, 0, 0, 0, 0, 0, ...] where DELTA is the operator defined in A084938. - Philippe Deléham, Nov 15 2008
LINKS
EXAMPLE
Triangle begins
1,
0, 1,
0, 2, 1,
0, 2, 4, 1,
0, 4, 8, 6, 1,
0, 2, 16, 18, 8, 1,
0, 12, 24, 44, 32, 10, 1,
0, -12, 48, 90, 96, 50, 12, 1
CROSSREFS
Sequence in context: A227341 A098542 A320019 * A256678 A066709 A258051
KEYWORD
easy,sign,tabl
AUTHOR
Paul Barry, Jun 26 2008
STATUS
approved

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Last modified March 28 17:25 EDT 2024. Contains 371254 sequences. (Running on oeis4.)