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A083313
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(2*3^n-(2^n-0^n))/2.
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6
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1, 2, 7, 23, 73, 227, 697, 2123, 6433, 19427, 58537, 176123, 529393, 1590227, 4774777, 14332523, 43013953, 129074627, 387289417, 1161999323, 3486260113, 10459304627, 31378962457, 94138984523, 282421147873, 847271832227
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Binomial transform of A051049
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FORMULA
| a(n)=(2*3^n-(2^n-0^n))/2 G.f. ((1-x)+(1-2x)(1-3x))/(2(1-2x)(1-3x))=(1-x)/((1-2x)(1-3x))+1/2 E.g.f. (2exp(3x)-exp(2x)+exp(0))/2
a(n) = A090888(n-1, 4), for n > 0. - Ross La Haye (rlahaye(AT)new.rr.com), Sep 21 2004
Let b(n)=2*(3/2)^n-1. Then A003063(n)=-b(1-n)*3^(n-1) for n>0. a(n)=A064686(n)=b(n)*2^(n-1) for n>0. - Michael Somos Aug 06 2006
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CROSSREFS
| Cf. A083314.
Essentially the same as A064686.
Sequence in context: A027139 A192906 A064686 * A077832 A030282 A042575
Adjacent sequences: A083310 A083311 A083312 * A083314 A083315 A083316
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KEYWORD
| easy,nonn
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Apr 24 2003
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