|
%I #4 Mar 30 2012 18:37:04
%S 1,1,0,1,1,1,2,0,0,2,1,2,4,4,4,6,0,0,0,6,1,3,7,11,15,21,21,21,21,27,0,
%T 0,0,0,27,1,4,11,22,37,58,79,100,121,148,148,148,148,148,175,0,0,0,0,
%U 0,175,1,5,16,38,75,133,212,312,433,581,729,877,1025,1173,1348,1348,1348
%N Triangle, read by rows of (n+1)(n+2)/2 terms, where row n+1 is generated by taking partial sums of row n and then appending n+1 zeros followed by the final term in the partial sums of row n for n>=0.
%e Triangle begins:
%e .1;
%e .1, 0, 1;
%e .1, 1, 2, 0,0, 2;
%e .1, 2, 4, 4, 4, 6, 0,0,0, 6;
%e .1, 3, 7,11,15,21,21, 21, 21, 27, 0,0,0,0, 27;
%e .1, 4,11,22,37,58,79,100,121,148,148,148,148,148,175, 0,0,0,0,0, 175; ...
%o (PARI) {T(n,k)=local(A=[1],B);if(n==0,if(k==0,1,0),for(j=1,n, B=Vec(Ser(A)/(1-x));A=concat(concat(B,vector(j)),B[ #B]));A[k+1])}
%Y Cf. A130455 (final term in rows).
%K nonn,tabf
%O 0,7
%A _Paul D. Hanna_, May 26 2007
%E Changed keyword tabl to tabf - _R. J. Mathar_, Mar 30 2010
|
