%I A084288
%S A084288 1,5,15,34,68,126,222,358,609,982,1722,2932,5317,9612,18539,34949,68876,
%T A084288 134632,267329,528921,1057402,2103882,4207541,8398104,16799430,33566249,
%U A084288 67148298,134231998,268500559,536897299,1073860323,2147505848
%N A084288 Anti-diagonal sums of table A084287, in which the k-th row is the product 
               of the k-th prime with the antidiagonals of the first k rows of the 
               table.
%o A084288 (PARI) A = matrix(50, 50); for (i = 1, 50, A[1, i] = 2^(i - 1)); for 
               (j = 2, 50, count = 0; p = prime(j); for (d = 1, j, for (x = 1, d, 
               y = d + 1 - x; count++; if (count <= 50, A[j, count] = p*A[x, y]))); 
               d = j; while (count < 50, d++; for (x = 1, j, y = d + 1 - x; count++; 
               if (count <= 50, A[j, count] = p*A[x, y])))); for (d = 1, 50, s = 
               0; for (y = 1, d, x = d + 1 - y; s += A[x, y]); print(s)); (Wasserman)
%Y A084288 Cf. A084287.
%Y A084288 Sequence in context: A006003 A111385 A026101 this_sequence A083049 A015627 
               A156778
%Y A084288 Adjacent sequences: A084285 A084286 A084287 this_sequence A084289 A084290 
               A084291
%K A084288 nonn
%O A084288 1,2
%A A084288 Paul D. Hanna (pauldhanna(AT)juno.com), May 25 2003
%E A084288 Corrected and extended by David Wasserman (wasserma(AT)spawar.navy.mil), 
               Dec 13 2004