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A077948 Expansion of 1/(1-x-x^2+2*x^3). +0
5
1, 1, 2, 1, 1, -2, -3, -7, -6, -7, 1, 6, 21, 25, 34, 17, 1, -50, -83, -135, -118, -87, 65, 214, 453, 537, 562, 193, -319, -1250, -1955, -2567, -2022, -679, 2433, 5798, 9589, 10521, 8514, -143, -12671, -29842, -42227, -46727, -29270, 8457, 72641, 139638, 195365, 189721, 105810, -95199, -368831 (list; graph; listen)
OFFSET

0,3

COMMENT

Row sums of Riordan array (1/(1-x^2), x(1-2x^2)/(1-x^2)), A117355. - Paul Barry (pbarry(AT)wit.ie), Mar 09 2006

FORMULA

a(n)=sum{k=0..n, sum{j=0..n-k, C(j-(n-k)/2-1,j)C(k,j)(1+(-1)^(n-k))/2}}; - Paul Barry (pbarry(AT)wit.ie), Mar 09 2006

a(n)=a(n-1)+a(n-2)-2a(n-3). If defined by this recurrence, the sequence could be preceded by 0, 0. - Paul Curtz (bpcrtz(AT)free.fr), Feb 17 2008

CROSSREFS

Cf. A077971.

Sequence in context: A130030 A088022 A016732 this_sequence A077971 A030018 A010739

Adjacent sequences: A077945 A077946 A077947 this_sequence A077949 A077950 A077951

KEYWORD

sign

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Nov 17 2002

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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