cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A107661 Array read by antidiagonals: T(n,m) = Sum m^max(k,n-k),k=0..n.

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%I A107661 #5 Aug 16 2013 17:56:56
%S A107661 1,1,2,1,4,3,1,6,10,4,1,8,21,24,5,1,10,36,72,52,6,1,12,55,160,225,112,
%T A107661 7,1,14,78,300,656,702,232,8,1,16,105,504,1525,2688,2133,480,9,1,18,
%U A107661 136,784,3060,7750,10816,6480,976,10,1,20,171,1152,5537,18576,38875
%N A107661 Array read by antidiagonals: T(n,m) = Sum m^max(k,n-k),k=0..n.
%F A107661 a(2n) = m^n(2(m^(n+1)-1)/(m-1)-1), a(2n+1) = 2m^(n+1)(m^(n+1)-1)/(m-1)
%F A107661 T(5,m) = m^2*(2*m^2+2*m+1). - _R. J. Mathar_, Aug 16 2013
%e A107661 The array starts in row n=0 and column m=1 as:
%e A107661     1,    1,    1,    1,    1,    1,...
%e A107661     2,    4,    6,    8,   10,   12,...
%e A107661     3,   10,   21,   36,   55,   78,...
%e A107661     4,   24,   72,  160,  300,  504,...
%e A107661     5,   52,  225,  656, 1525, 3060,...
%e A107661     6,  112,  702, 2688, 7750,18576,...
%e A107661     7,  232, 2133,10816,38875,111672,...
%e A107661     8,  480, 6480,43520,195000,671328,...
%Y A107661 Cf. A107659, A107660, A014105 (3rd row), A181617 (4th row)
%K A107661 nonn,easy,tabl
%O A107661 0,3
%A A107661 _Mitch Harris_