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%I #2 Mar 30 2012 17:34:28
%S 1,1,1,1,2,1,1,5,5,1,1,6,8,6,1,1,7,16,16,7,1,1,8,19,26,19,8,1,1,9,31,
%T 45,45,31,9,1,1,10,34,86,90,86,34,10,1,1,11,50,126,196,196,126,50,11,
%U 1,1,12,53,148,266,322,266,148,53,12,1
%N Binary prejudiced single Sierpinski modulo two Pascal shift: Prejudice function: p(n,m)=If[Mod[Binomial[n - 2, m - 1], 2] == 0, Round[Log[2]]/2, 1]; t(n,m)=Binomial[n, m] + If[n > 2, 2*Binomial[n - 2, m - 1]*p(n, m), 0]; Mod[If[n > 2, 2*Binomial[n - 2, m - 1]*p(n,m), 0],2]=0.
%C Row sums are:{1, 2, 4, 12, 22, 48, 82, 172, 352, 768, 1282,...}.
%F Prejudice function: p(n,m)=If[Mod[Binomial[n - 2, m - 1], 2] == 0, Round[Log[2]]/2, 1]; t(n,m)=Binomial[n, m] + If[n > 2, 2*Binomial[n - 2, m - 1]*p(n, m), 0].
%e {1}, {1, 1}, {1, 2, 1}, {1, 5, 5, 1}, {1, 6, 8, 6, 1}, {1, 7, 16, 16, 7, 1}, {1, 8, 19, 26, 19, 8, 1}, {1, 9, 31, 45, 45, 31, 9, 1}, {1, 10, 34, 86, 90, 86, 34, 10, 1}, {1, 11, 50, 126, 196, 196, 126, 50, 11, 1}, {1, 12, 53, 148, 266, 322, 266, 148, 53, 12, 1}
%t p[n_, m_] := If[Mod[Binomial[n - 2, m - 1], 2] == 0, Round[Log[2]]/2, 1]; Table[Table[Binomial[n, m] + If[n > 2, 2*Binomial[n - 2, m - 1], 0], {m, 0, n}], {n, 0, 10}]; Flatten[%]
%Y A146986, A146987, A028262
%K nonn,tabl,uned
%O 0,5
%A _Roger L. Bagula_, Nov 09 2008
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