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A097761 Inverse of binomial transform of Whitney triangle. 1
1, -2, 1, 4, -4, 1, -10, 13, -6, 1, 28, -42, 26, -8, 1, -84, 138, -102, 43, -10, 1, 264, -462, 385, -198, 64, -12, 1, -858, 1573, -1430, 845, -338, 89, -14, 1, 2860, -5434, 5278, -3458, 1610, -530, 118, -16, 1, -9724, 19006, -19448, 13804, -7208, 2788, -782, 151, -18, 1, 33592 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

As an element of the Riordan group, this is (1-xC(-x))C(-x), xC(-x)^2), where C(x)=(1-(1-4*x)^(1/2))/(2*x) is g.f. for Catalan numbers, A000108. Inverse of A097750. Row sums have g.f. (1-xC(-x))C(-x)/(1-xC(-x)^2), or 1,-1,1,-2,5,-14,42,...

LINKS

Table of n, a(n) for n=0..55.

EXAMPLE

Rows begin {1}, {-2,1}, {4,-4,1}, {-10,13,-6,1},...

CROSSREFS

Sequence in context: A202710 A200965 A117427 * A200756 A108556 A122440

Adjacent sequences:  A097758 A097759 A097760 * A097762 A097763 A097764

KEYWORD

easy,sign,tabl

AUTHOR

Paul Barry, Aug 23 2004

STATUS

approved

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Last modified January 19 14:53 EST 2020. Contains 331049 sequences. (Running on oeis4.)