cp's OEIS Frontend

A242150 Number of length 6+5 0..n arrays with no consecutive six elements summing to more than 3*n.

%I A242150 #6 Jul 23 2025 11:15:49
%S A242150 747,51440,1098260,12043599,86052208,456215409,1941492045,6980495147,
%T A242150 21963123129,62016006945,160112849845,383388390463,860906165796,
%U A242150 1828944557550,3702209669222,7182352124565,13418860449679,24241936676342
%N A242150 Number of length 6+5 0..n arrays with no consecutive six elements summing to more than 3*n.
%C A242150 Row 6 of A242144
%H A242150 R. H. Hardin, <a href="/A242150/b242150.txt">Table of n, a(n) for n = 1..48</a>
%F A242150 Empirical: a(n) = (1956631/9979200)*n^11 + (1726129/725760)*n^10 + (9526243/725760)*n^9 + (5272471/120960)*n^8 + (19548049/201600)*n^7 + (5255677/34560)*n^6 + (124917323/725760)*n^5 + (25617881/181440)*n^4 + (75074821/907200)*n^3 + (83833/2520)*n^2 + (115589/13860)*n + 1
%e A242150 Some solutions for n=1
%e A242150 ..0....0....1....0....0....1....1....1....1....1....0....0....1....0....1....1
%e A242150 ..0....0....0....0....0....0....0....1....1....0....0....0....1....1....0....1
%e A242150 ..1....0....0....0....1....0....1....0....1....0....0....0....0....0....0....1
%e A242150 ..0....0....0....0....0....0....0....0....0....1....0....1....1....1....0....0
%e A242150 ..0....1....0....1....1....1....0....0....0....0....0....1....0....1....0....0
%e A242150 ..1....1....0....0....0....0....0....1....0....0....0....0....0....0....0....0
%e A242150 ..1....0....0....0....1....0....0....1....1....0....1....1....1....0....0....0
%e A242150 ..0....0....0....0....0....0....1....0....1....1....0....0....0....1....1....0
%e A242150 ..0....1....0....1....0....0....0....0....1....1....1....0....0....0....0....0
%e A242150 ..0....0....1....0....0....0....0....0....0....0....0....1....1....1....0....0
%e A242150 ..1....1....0....1....0....1....1....0....0....1....0....1....0....1....0....0
%K A242150 nonn
%O A242150 1,1
%A A242150 _R. H. Hardin_, May 05 2014