# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a277938 Showing 1-1 of 1 %I A277938 #27 Feb 04 2018 14:35:27 %S A277938 1,1,0,1,1,0,1,2,2,0,1,3,5,5,0,1,4,9,14,8,0,1,5,14,28,30,16,0,1,6,20, %T A277938 48,72,68,28,0,1,7,27,75,141,183,145,49,0,1,8,35,110,245,396,443,298, %U A277938 83,0,1,9,44,154,393,751,1058,1026,600,142,0,1,10,54,208 %N A277938 Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of Product_{j>=1} (1+x^j)^(j*k) in powers of x. %H A277938 Seiichi Manyama, Antidiagonals n = 0..139, flattened %F A277938 G.f. of column k: Product_{j>=1} (1+x^j)^(j*k). %e A277938 Square array begins: %e A277938 1, 1, 1, 1, 1, ... %e A277938 0, 1, 2, 3, 4, ... %e A277938 0, 2, 5, 9, 14, ... %e A277938 0, 5, 14, 28, 48, ... %e A277938 0, 8, 30, 72, 141, ... %Y A277938 Columns k=0-4 give: A000007, A026007, A026011, A027346, A027906. %Y A277938 Rows n=0-3 give: A000012, A001477, A000096, A005586. %Y A277938 Main diagonal gives A270922. %Y A277938 Antidiagonal sums give A299167. %Y A277938 Cf. A276554, A279928. %K A277938 nonn,tabl %O A277938 0,8 %A A277938 _Seiichi Manyama_, Apr 11 2017 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE