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%I #15 Jan 18 2014 16:22:44
%S 1,2,1,4,2,1,8,4,2,1,14,7,3,2,1,24,12,5,3,2,1,40,19,8,4,3,2,1,64,30,
%T 12,6,4,3,2,1,100,45,17,9,5,4,3,2,1,154,67,24,13,7,5,4,3,2,1,232,97,
%U 34,17,10,8,6,5,4,3,2,1,344,139,47,22,14,8,6,5,4,3,2,1
%N Square array read by antidiagonals upwards in which the n-th column gives the partial sums of the n-th column of A211970.
%C The column 0 is related to A008794 in the same way as the column k is related to the generalized (k+4)-gonal numbers, for k >= 1. For more information see A195152 and A211970.
%F T(n,k) = Sum_{j=0..n} A211970(j,k), (n>=0, k>=0).
%e Array begins:
%e 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,...
%e 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,...
%e 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3,...
%e 8, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4,...
%e 14, 12, 8, 6, 5, 5, 5, 5, 5, 5, 5,...
%e 24, 19, 12, 9, 7, 6, 6, 6, 6, 6, 6,...
%e 40, 30, 17, 13, 10, 8, 7, 7, 7, 7, 7,...
%e 64, 45, 24, 17, 14, 11, 9, 8, 8, 8, 8,...
%e 100, 67, 34, 22, 18, 15, 12, 10, 9, 9, 9,...
%e 154, 97, 47, 29, 22, 19, 16, 13, 11, 10, 10,...
%e 232, 139, 63, 39, 27, 23, 20, 17, 14, 12, 11,...
%e 344, 195, 84, 51, 34, 27, 24, 21, 18, 15, 13,...
%e 504, 272, 112, 65, 44, 32, 28, 25, 22, 19, 16,...
%e 728, 383, 147, 81, 56, 39, 32, 29, 26, 23, 20,...
%e ...
%Y Column 1 is A015128, the partial sums of A211971.
%Y Column 2 is A000070, the partial sums of A000041.
%Y Column 3 is A233969, the partial sums of A006950.
%Y Cf. A000217, A001318, A008794, A085787, A057077, A195152, A211970.
%K nonn,tabl
%O 0,2
%A _Omar E. Pol_, Jan 13 2014
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