cp's OEIS Frontend

A061926 Square table by antidiagonals where odd rows are partial sums of previous row, even rows are sums of pairs of values in previous row and initial row is 0 and 1 alternating.

%I A061926 #7 Mar 14 2023 18:30:06
%S A061926 0,1,0,0,1,0,1,1,1,0,0,2,2,1,0,1,2,3,3,1,0,0,3,4,6,4,1,0,1,3,5,10,9,5,
%T A061926 1,0,0,4,6,15,16,14,6,1,0,1,4,7,21,25,30,19,7,1,0,0,5,8,28,36,55,44,
%U A061926 26,8,1,0,1,5,9,36,49,91,85,70,33,9,1,0,0,6,10,45,64,140,146,155,96,42,10
%N A061926 Square table by antidiagonals where odd rows are partial sums of previous row, even rows are sums of pairs of values in previous row and initial row is 0 and 1 alternating.
%F A061926 T(0, 2*k) = 0, T(0, 2*k+1) = 1, T(n, 0) = 0, T(2*n, k) = T(2*n-1, k-1) + T(2*n-1, k), T(2*n+1, k) = T(2*n+1, k-1) + T(2*n, k). - _Sean A. Irvine_, Mar 14 2023
%e A061926 From _Sean A. Irvine_, Mar 14 2023: (Start)
%e A061926 Table begins:
%e A061926   0 1 0  1  0   1   0   1
%e A061926   0 1 1  2  2   3   3   4
%e A061926   0 1 2  3  4   5   6   7
%e A061926   0 1 3  6 10  15  21  28
%e A061926   0 1 4  9 16  25  36  49
%e A061926   0 1 5 14 30  55  91 140
%e A061926   0 1 6 19 44  85 146 231
%e A061926   0 1 7 26 70 155 301 532
%e A061926 (End)
%Y A061926 Rows are A000035, A004526, A001477, A000217, A000290, A000330, A005900, A006325, A014820, A061927. Columns are A000004, A000012, A001477, A061925.
%K A061926 nonn,tabl
%O A061926 0,12
%A A061926 _Henry Bottomley_, May 17 2001