Search: id:A038231
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%I A038231
%S A038231 1,4,1,16,8,1,64,48,12,1,256,256,96,16,1,1024,1280,640,160,20,1,
%T A038231 4096,6144,3840,1280,240,24,1,16384,28672,21504,8960,2240,336,28,
%U A038231 1,65536,131072,114688,57344,17920,3584,448,32,1,262144,589824
%N A038231 Triangle whose (i,j)-th entry is binomial(i,j)*4^(i-j).
%C A038231 T(i,j) is the number of i-permutations of 5 objects a,b,c,d,e, with repetition 
               allowed, containing j a's. - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               Dec 21 2007
%C A038231 Triangle of coefficients in expansion of (4+x)^n - Nour-Eddine Fahssi 
               (fahssin(AT)yahoo.fr), Apr 13 2008
%D A038231 B. N. Cyvin et al., Isomer enumeration of unbranched catacondensed polygonal 
               systems with pentagons and heptagons, Match, No. 34 (Oct 1996), pp. 
               109-121.
%D A038231 Naiomi T. Cameron and Asamoah Nkwanta, On Some (Pseudo) Involutions in 
               the Riordan Group, Journal of Integer Sequences, Vol. 8 (2005), Article 
               05.3.7.
%F A038231 G.f. for j-th column is (x^j)/(1-4*x)^(j+1); convolution triangle of 
               A000302 (powers of 4).
%F A038231 Sum_{k, 0<=k<=n} T(n,k)*(-1)^k*A000108(k)= A001700(n). [From Philippe 
               DELEHAM (kolotoko(AT)wanadoo.fr), Nov 27 2009]
%e A038231 1
%e A038231 4, 1
%e A038231 16, 8, 1
%e A038231 64, 48, 12, 1
%e A038231 256, 256, 96, 16, 1
%e A038231 1024, 1280, 640, 160, 20, 1
%e A038231 4096, 6144, 3840, 1280, 240, 24, 1
%e A038231 16384, 28672, 21504, 8960, 2240, 336, 28, 1
%e A038231 65536, 131072, 114688, 57344, 17920, 3584, 448, 32, 1
%p A038231 for i from 0 to 8 do seq(binomial(i, j)*4^(i-j), j = 0 .. i) od; - Zerinvary 
               Lajos (zerinvarylajos(AT)yahoo.com), Dec 21 2007
%Y A038231 Sequence in context: A094361 A067425 A138681 this_sequence A104855 A143496 
               A143697
%Y A038231 Adjacent sequences: A038228 A038229 A038230 this_sequence A038232 A038233 
               A038234
%K A038231 nonn,tabl,easy,new
%O A038231 0,2
%A A038231 N. J. A. Sloane (njas(AT)research.att.com).

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