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A168377 Riordan array (1/(1+x),xc(x)) where c(x) is the o.g.f. of Catalan numbers A000108. 1
1, -1, 1, 1, 0, 1, -1, 2, 1, 1, 1, 3, 4, 2, 1, -1, 11, 10, 7, 3, 1, 1, 31, 32, 21, 11, 4, 1, -1, 101, 100, 69, 37, 16, 5, 1, 1, 328, 329, 228, 128, 59, 22, 6, 1, -1, 1102, 1101, 773, 444, 216, 88, 29, 7, 1, 1, 3760, 3761, 2659, 1558, 785, 341, 125, 37, 8, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,8

LINKS

Table of n, a(n) for n=0..65.

FORMULA

Sum_{k, 0<=k<=n} T(n,k)= A032357(n). T(n,0)=(-1)^n. T(n,n)=1.

EXAMPLE

Triangle begins : 1 ; -1,1 ; 1,0,1 ; -1,2,1,1 ; 1,3,4,2,1 ; -1,11,10,7,3,1 ; ...

Production matrix begins:

-1, 1

0, 1, 1

0, 1, 1, 1

0, 1, 1, 1, 1

0, 1, 1, 1, 1, 1

0, 1, 1, 1, 1, 1, 1

0, 1, 1, 1, 1, 1, 1, 1

0, 1, 1, 1, 1, 1, 1, 1, 1

Philippe Deléham, Sep 14 2014

CROSSREFS

Cf. A000012, A000108, A000124, A023443, A032357, A033297, A033999, A091491, A106566, A127540.

Sequence in context: A293991 A288638 A261494 * A122867 A124775 A140075

Adjacent sequences:  A168374 A168375 A168376 * A168378 A168379 A168380

KEYWORD

sign,tabl

AUTHOR

Philippe Deléham, Nov 24 2009

STATUS

approved

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Last modified July 19 10:45 EDT 2019. Contains 325155 sequences. (Running on oeis4.)