%I A101164
%S A101164 0,0,0,0,1,0,0,2,2,0,0,3,7,3,0,0,4,15,15,4,0,0,5,26,43,26,5,0,0,6,40,94,
%T A101164 94,40,6,0,0,7,57,175,251,175,57,7,0,0,8,77,293,555,555,293,77,8,0,0,9,
%U A101164 100,455,1079,1431,1079,455,100,9,0,0,10,126,668,1911,3191,3191,1911
%N A101164 Triangle read by rows: Delannoy numbers minus binomial coefficients.
%C A101164 T(n,2) = A005449(n-2) for n>1;
%C A101164 T(n,3) = A101165(n-3) for n>2;
%C A101164 T(n,4) = A101166(n-4) for n>3;
%C A101164 sum of n-th row = A094706(n).
%H A101164 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               DelannoyNumber.html">Delannoy Number</a>
%H A101164 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               BinomialCoefficient.html">Binomial Coefficient</a>
%H A101164 <a href="Sindx_Pas.html#Pascal">Index entries for triangles and arrays 
               related to Pascal's triangle</a>
%F A101164 T(n, k) = TD(n, k) - Binomial(n, k), 0<=k<=n, where Binomial=A007318 
               and TD defines the triangle of A008288.
%Y A101164 Sequence in context: A059692 A004247 A014473 this_sequence A062275 A138270 
               A134315
%Y A101164 Adjacent sequences: A101161 A101162 A101163 this_sequence A101165 A101166 
               A101167
%K A101164 nonn,tabl
%O A101164 0,8
%A A101164 Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Dec 03 2004