Search: id:A038291
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%I A038291
%S A038291 1,9,1,81,18,1,729,243,27,1,6561,2916,486,36,1,59049,32805,7290,
%T A038291 810,45,1,531441,354294,98415,14580,1215,54,1,4782969,3720087,1240029,
%U A038291 229635,25515,1701,63,1,43046721,38263752,14880348,3306744,459270
%N A038291 Triangle whose (i,j)-th entry is binomial(i,j)*9^(i-j)*1^j.
%C A038291 T(i,j) is the number of i-permutations of 10 objects a,b,c,d,e,f,g,h,
               i,j with repetition allowed, containing j a's. - Zerinvary Lajos 
               (zerinvarylajos(AT)yahoo.com), Dec 21 2007
%C A038291 Reflected version of A013616. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 
               Dec 19 2008]
%D A038291 B. N. Cyvin et al., Isomer enumeration of unbranched catacondensed polygonal 
               systems with pentagons and heptagons, Match, No. 34 (Oct 1996), pp. 
               109-121.
%e A038291 1
%e A038291 9, 1
%e A038291 81, 18, 1
%e A038291 729, 243, 27, 1
%e A038291 6561, 2916, 486, 36, 1
%e A038291 59049, 32805, 7290, 810, 45, 1
%e A038291 531441, 354294, 98415, 14580, 1215, 54, 1
%e A038291 4782969, 3720087, 1240029, 229635, 25515, 1701, 63, 1
%e A038291 43046721, 38263752, 14880348, 3306744, 459270, 40824, 2268, 72, 1
%e A038291 387420489, 387420489, 172186884, 44641044, 7440174, 826686, 61236,2916, 
               81, 1
%p A038291 for i from 0 to 9 do seq(binomial(i, j)*9^(i-j), j = 0 .. i) od; - Zerinvary 
               Lajos (zerinvarylajos(AT)yahoo.com), Dec 21 2007
%Y A038291 Sequence in context: A050312 A107892 A050303 this_sequence A075504 A138342 
               A101678
%Y A038291 Adjacent sequences: A038288 A038289 A038290 this_sequence A038292 A038293 
               A038294
%K A038291 nonn,tabl,easy
%O A038291 0,2
%A A038291 N. J. A. Sloane (njas(AT)research.att.com).

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