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Search: id:A093041
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A093041 Expansion of (1-4x+6x^2-3x^3)/(1-5x+9x^2-8x^3+4x^4). +0
1
1, 1, 2, 6, 16, 38, 86, 192, 426, 938, 2048, 4438, 9558, 20480, 43690, 92842, 196608, 415062, 873814, 1835008, 3844778, 8039082, 16777216, 34952534, 72701270, 150994944, 313174698, 648719018, 1342177280, 2773833046, 5726623062 (list; graph; listen)
OFFSET

0,3

COMMENT

Binomial transform of A008611.

FORMULA

a(n)=2(cos(pi*n/3)-sqrt(3)sin(pi*n/3)/3)/3+2^n/3+n*2^(n-1)/3; a(n)=2*A010892(n+1)/3+A000079(n)/3+A001787(n)/3.

CROSSREFS

Sequence in context: A099099 A074082 A097813 this_sequence A156616 A046209 A078774

Adjacent sequences: A093038 A093039 A093040 this_sequence A093042 A093043 A093044

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Mar 18 2004

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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