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A129203
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a(n)=numerator(3/(n+1)^3)*(3/2+(-1)^n/2).
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4
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6, 3, 2, 3, 6, 1, 6, 3, 2, 3, 6, 1, 6, 3, 2, 3, 6, 1, 6, 3, 2, 3, 6, 1, 6, 3, 2, 3, 6, 1, 6, 3, 2, 3, 6, 1, 6, 3, 2, 3, 6, 1, 6, 3, 2, 3, 6, 1, 6, 3, 2, 3, 6, 1, 6, 3, 2, 3, 6, 1, 6, 3, 2, 3, 6, 1, 6, 3, 2, 3, 6, 1
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| (1/(2*pi))*int(exp(i*(n+1)*t)((t-pi)/i)^3,t,0,2*pi))=(A129202(n)*pi^2-A129203(n))/A129196(n), i=sqrt(-1).
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FORMULA
| G.f.: (6+3x+2x^2+3x^3+6x^4+x^5)/(1-x^6); a(n)=cos(2*pi*n/3)+sqrt(3)sin(2*pi*n/3)+cos(pi*n/3)/3-sqrt(3)sin(pi*n/3)/3+7cos(pi*n)/6+7/2;
a(n)=numerator(6/(n+1)^2); - Paul Barry (pbarry(AT)wit.ie), Apr 03 2007
a(n)=denominator of coefficient of x^6 in the Maclaurin expansion of -exp(-(n+1)*x^2). [From Francesco Daddi, Aug 04 2011]
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CROSSREFS
| Sequence in context: A068996 A068924 A106224 * A083946 A153607 A010494
Adjacent sequences: A129200 A129201 A129202 * A129204 A129205 A129206
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KEYWORD
| easy,nonn
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Apr 03 2007
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