|
Search: id:A083313
|
|
| |
|
| 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; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
Binomial transform of A051049
|
|
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
|
|
CROSSREFS
|
Cf. A083314.
Essentially the same as A064686.
Sequence in context: A147970 A027139 A064686 this_sequence A077832 A030282 A042575
Adjacent sequences: A083310 A083311 A083312 this_sequence A083314 A083315 A083316
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Paul Barry (pbarry(AT)wit.ie), Apr 24 2003
|
|
|
Search completed in 0.002 seconds
|
