cp's OEIS Frontend

A183902 Number of nondecreasing arrangements of n+3 numbers in 0..7 with each number being the sum mod 8 of three others.

%I A183902 #6 Jul 22 2025 09:17:34
%S A183902 5,22,243,1160,3347,7416,14376,25584,42852,68552,105736,158272,230997,
%T A183902 329888,462252,636936,864558,1157760,1531484,2003272,2593591,3326184,
%U A183902 4228448,5331840,6672312,8290776,10233600,12553136,15308281
%N A183902 Number of nondecreasing arrangements of n+3 numbers in 0..7 with each number being the sum mod 8 of three others.
%C A183902 Column 7 of A183904
%F A183902 Empirical: a(n) = (1/5040)*n^7 + (7/720)*n^6 + (29/144)*n^5 + (329/144)*n^4 + (1259/90)*n^3 + (5167/180)*n^2 - (6955/21)*n + 312 for n>4
%e A183902 Some solutions for n=2
%e A183902 ..2....1....1....0....1....0....0....2....0....4....1....2....3....0....1....3
%e A183902 ..6....5....1....0....3....0....0....2....2....4....3....2....3....0....1....5
%e A183902 ..6....5....3....2....3....0....0....2....2....4....3....6....5....4....5....7
%e A183902 ..6....5....5....2....3....4....0....6....4....4....7....6....7....6....5....7
%e A183902 ..6....7....5....4....7....4....0....6....4....4....7....6....7....6....7....7
%K A183902 nonn
%O A183902 1,1
%A A183902 _R. H. Hardin_ Jan 07 2011