%I A085484
%S A085484 1,1,1,2,2,2,8,4,4,8,40,12,8,12,40,224,52,30,30,52,224,1368,276,72,40,
%T A085484 72,276,1368,9008,1644,348,112,112,348,1644,9008,63488,10652,1992,460,
%U A085484 224,460,1992,10652,63488,476160,74140,12644,2452,684,684,2452,12644
%N A085484 Symmetric square table, read by antidiagonals, such that the main diagonal 
               is equal to the first row shift left: T(0,0)=1, T(0,k) = sum(m=0,
               k-1, C(k-1,m)*T(m,k-1-m)) when k>0; and T(n,k) = T(n-1,k) + T(n,k-1) 
               when n>0, k>0.
%C A085484 Antidiagonal sums give A085486. First row is A085485; table is symmetric 
               under transpose, so that first column equals the first row. Second 
               row gives partial sums of first row.
%e A085484 Rows begin:
%e A085484 ....1 ....1 ....2 .....8 ....40 ...224 ..1368 ..9008 ...
%e A085484 ....1 ....2 ....4 ....12 ....52 ...276 ..1644 .10652 ...
%e A085484 ....2 ....4 ....8 ....20 ....72 ...348 ..1992 .12644 ...
%e A085484 ....8 ...12 ...20 ....40 ...112 ...460 ..2452 .15096 ...
%e A085484 ...40 ...52 ...72 ...112 ...224 ...684 ..3136 .18232 ...
%e A085484 ..224 ..276 ..348 ...460 ...684 ..1368 ..4504 .22736 ...
%e A085484 .1368 .1644 .1992 ..2452 ..3136 ..4504 ..9008 .31744 ...
%e A085484 .9008 10652 12644 .15096 .18232 .22736 .31744 .63488 ...
%e A085484 63488 74140 86784 101880 120112 142848 174592 238080 ...
%Y A085484 Cf. A085485 (first row and diagonal), A085486 (antidiagonal sums).
%Y A085484 Sequence in context: A029605 A054271 A011202 this_sequence A116585 A008293 
               A011140
%Y A085484 Adjacent sequences: A085481 A085482 A085483 this_sequence A085485 A085486 
               A085487
%K A085484 nonn,tabl
%O A085484 0,4
%A A085484 Paul D. Hanna (pauldhanna(AT)juno.com), Jul 02 2003