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A116949 Riordan array ((1-x^3)/(1+2x^2),x). +0
4
1, 0, 1, -2, 0, 1, -1, -2, 0, 1, 4, -1, -2, 0, 1, 2, 4, -1, -2, 0, 1, -8, 2, 4, -1, -2, 0, 1, -4, -8, 2, 4, -1, -2, 0, 1, 16, -4, -8, 2, 4, -1, -2, 0, 1, 8, 16, -4, -8, 2, 4, -1, -2, 0, 1, -32, 8, 16, -4, -8, 2, 4, -1, -2, 0, 1, -16, -32, 8, 16, -4, -8, 2, 4, -1, -2, 0, 1, 64, -16, -32, 8, 16, -4, -8, 2, 4, -1, -2, 0, 1 (list; table; graph; listen)
OFFSET

0,4

COMMENT

Sequence array of (-2)^(n/2)(1+(-1)^n)/2-(-2)^((n-3)/2)(1-(-1)^n)/2-(comb(1,n)-comb(0,n))/2. Inverse of A110128 [this cross-reference is wrong - njas, Jan 01 2008]. Row sums are A117575. Diagonal sums are A117576.

EXAMPLE

Number triangle begins

1,

0, 1,

-2, 0, 1,

-1, -2, 0, 1,

4, -1, -2, 0, 1,

2, 4, -1, -2, 0, 1,

-8, 2, 4, -1, -2, 0, 1,

-4, -8, 2, 4, -1, -2, 0, 1,

16, -4, -8, 2, 4, -1, -2, 0, 1

CROSSREFS

Sequence in context: A025871 A051010 A130027 this_sequence A114708 A084927 A072670

Adjacent sequences: A116946 A116947 A116948 this_sequence A116950 A116951 A116952

KEYWORD

easy,sign,tabl

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Mar 29 2006

EXTENSIONS

Entry revised by njas, Apr 10 2006

page 1

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Last modified November 18 20:14 EST 2008. Contains 147244 sequences.


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