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.

A194604 Square table T(n, d) read by antidiagonals: number of ways to place 2 nonattacking kings on an n^d (n X n X ...) raumschach board (hypercubical chessboard).

This page as a plain text file.
%I A194604 #12 Jul 21 2017 00:34:14
%S A194604 0,0,0,1,0,0,3,16,0,0,6,78,193,0,0,10,228,1548,2080,0,0,15,520,6714,
%T A194604 27768,21121,0,0,21,1020,21280,181032,474288,206896,0,0,28,1806,55395,
%U A194604 807040,4697166,7888608,1979713,0,0,36,2968,125748,2817240,29708800
%N A194604 Square table T(n, d) read by antidiagonals: number of ways to place 2 nonattacking kings on an n^d (n X n X ...) raumschach board (hypercubical chessboard).
%F A194604 T(n, d) = (n^(2d) - (3n-2)^d) / 2 for n>0, d>0.
%e A194604 The table begins:
%e A194604 0   0    0      0       0 ...
%e A194604 0   0    0      0       0 ...
%e A194604 1  16  193   2080   21121 ...
%e A194604 3  78 1548  27768  474288 ...
%e A194604 6 228 6714 181032 4697166 ...
%e A194604 There are T(3, 4) = 2080 ways to place 2 nonattacking kings on a 3^4 (3 X 3 X 3 X 3) hypercubical chessboard.
%e A194604 The antidiagonals are read from southwest to northeast.
%Y A194604 Cf. A000217(n-2) (T(n,1)).
%Y A194604 Cf. A061995 (T(n,2)).
%Y A194604 Cf. A166540 (T(n,3)).
%K A194604 nonn,tabl
%O A194604 1,7
%A A194604 _Andrew Woods_, Aug 30 2011