%I A027466
%S A027466 1,7,1,49,14,1,343,147,21,1,2401,1372,294,28,1,16807,12005,3430,
%T A027466 490,35,1,117649,100842,36015,6860,735,42,1,823543,823543,352947,
%U A027466 84035,12005,1029,49,1,5764801,6588344,3294172,941192,168070,19208
%N A027466 Triangle whose (i,j)-th entry is binomial(i,j)*7^(i-j).
%C A027466 T(i,j) is the number of i-permutations of 8 objects a,b,c,d,e,f,g,h, 
               with repetition allowed, containing j a's. - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               Dec 21 2007
%D A027466 B. N. Cyvin et al., Isomer enumeration of unbranched catacondensed polygonal 
               systems with pentagons and heptagons, Match, No. 34 (Oct 1996), pp. 
               109-121.
%F A027466 Cube of lower triangular normalized Binomial matrix.
%F A027466 Numerators of lower triangle of (a[ i, j ])^3 where a[ i, j ] = Binomial(i-1, 
               j-1)/2^(i-1) if j<=i, 0 if j>i
%e A027466 1
%e A027466 7, 1
%e A027466 49, 14, 1
%e A027466 343, 147, 21, 1
%e A027466 2401, 1372, 294, 28, 1
%e A027466 16807, 12005, 3430, 490, 35, 1
%e A027466 117649, 100842, 36015, 6860, 735, 42, 1
%e A027466 823543, 823543, 352947, 84035, 12005, 1029, 49, 1
%e A027466 5764801, 6588344, 3294172, 941192, 168070, 19208, 1372, 56, 1
%p A027466 for i from 0 to 8 do seq(binomial(i, j)*7^(i-j), j = 0 .. i) od; - Zerinvary 
               Lajos (zerinvarylajos(AT)yahoo.com), Dec 21 2007
%Y A027466 Cf. A007318.
%Y A027466 Sequence in context: A027643 A051931 A038267 this_sequence A075502 A052104 
               A144450
%Y A027466 Adjacent sequences: A027463 A027464 A027465 this_sequence A027467 A027468 
               A027469
%K A027466 nonn,tabl,easy
%O A027466 0,2
%A A027466 Olivier Gerard (olivier.gerard(AT)gmail.com)
%E A027466 Simpler definition from N. J. A. Sloane (njas(AT)research.att.com).