A048471 - OEIS

%I #9 Mar 30 2012 18:56:55

%S 1,2,1,5,3,1,14,9,5,1,41,27,17,9,1,122,81,53,33,17,1,365,243,161,105,

%T 65,33,1,1094,729,485,321,209,129,65,1,3281,2187,1457,969,641,417,257,

%U 129,1,9842,6561,4373,2913,1937,1281,833,513

%N Array T read by diagonals: T(k,n) = 2^(k-1) * (3^n - 1) + 1.

%F n-th difference of (T(k, n), T(k, n-1), ..., T(k, 0)) is 2^(n+k-1), for n=1, 2, 3, ...; k=0, 1, 2, ...

%e Diagonals (each starting on row 1): {1}; {2,1}; {5,3,1}; ...

%Y Row 1 = (1, 2, 5, 14, 41, ...) = A007051.

%Y Row 2 = (1, 3, 9, 27, 81, ...) = A000244.

%Y Other rows: A048473 (k=2), A036543 (k=3), A036545 (k=4), A036546 (k=5), A036547 (k=6), A036548 (k=7), A036549 (k=8).

%Y Diagonal is A036551, antidiagonal sums are A036550.

%K nonn,tabl

%O 0,2

%A _Clark Kimberling_

%E Simpler definition from _Ralf Stephan_, Feb 17 2004