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A124394 Inverse of Fine number renewal array. 2
1, 0, 1, -1, 0, 1, -2, -2, 0, 1, -3, -4, -3, 0, 1, -4, -5, -6, -4, 0, 1, -5, -4, -6, -8, -5, 0, 1, -6, 0, 0, -6, -10, -6, 0, 1, -7, 8, 14, 8, -5, -12, -7, 0, 1, -8, 21, 36, 36, 20, -3, -14, -8, 0, 1, -9, 40, 63, 72, 65, 36, 0, -16, -9, 0, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,7

COMMENTS

Inverse of A065600. Row sums are A057681(n+1). Diagonal sums are A124395.

LINKS

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

FORMULA

Riordan array ((1-2x)/(1-x)^2,x(1-2x)/(1-x)^2); Number triangle T(n,k)=sum{j=0..k+1, C(k+1,j)C(n-j+k+1,2k+1)(-2)^j};

EXAMPLE

Triangle begins

1,

0, 1,

-1, 0, 1,

-2, -2, 0, 1,

-3, -4, -3, 0, 1,

-4, -5, -6, -4, 0, 1,

-5, -4, -6, -8, -5, 0, 1,

-6, 0, 0, -6, -10, -6, 0, 1

CROSSREFS

Sequence in context: A109754 A220074 A059259 * A086460 A136431 A182888

Adjacent sequences:  A124391 A124392 A124393 * A124395 A124396 A124397

KEYWORD

easy,sign,tabl

AUTHOR

Paul Barry, Oct 30 2006

STATUS

approved

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Last modified October 21 16:01 EDT 2018. Contains 316424 sequences. (Running on oeis4.)