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A077941 Expansion of 1/(1-2*x+x^2+x^3). 2
1, 2, 3, 3, 1, -4, -12, -21, -26, -19, 9, 63, 136, 200, 201, 66, -269, -805, -1407, -1740, -1268, 611, 4230, 9117, 13393, 13439, 4368, -18096, -53999, -94270, -116445, -84621, 41473, 284012, 611172, 896859, 898534, 289037, -1217319, -3622209, -6316136, -7792744, -5647143, 2814594 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

With three leading zeros, is the inverse binomial transform of A077868, with three leading zeros. - Paul Barry (pbarry(AT)wit.ie), Oct 22 2004

FORMULA

a(n)=sum{k=0..n+3, C(n+3, k)(-1)^(n+3-k)*sum{j=0..floor((k-2)/2), C(k-2-2j, j+1)}}. - Paul Barry (pbarry(AT)wit.ie), Oct 22 2004

MATHEMATICA

LinearRecurrence[{2, -1, -1}, {1, 2, 3}, 100] (* From Vladimir Joseph Stephan Orlovsky, Jul 03 2011 *)

CROSSREFS

Cf. A077990.

Sequence in context: A076780 A089283 * A077990 A085667 A035516 A120428

Adjacent sequences:  A077938 A077939 A077940 * A077942 A077943 A077944

KEYWORD

sign

AUTHOR

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

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Last modified February 16 14:07 EST 2012. Contains 205930 sequences.