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A246890 Number of length n+4 0..6 arrays with some pair in every consecutive five terms totalling exactly 6.

%I A246890 #6 Jun 02 2025 10:14:40
%S A246890 12931,79345,484297,2934691,17677453,107053441,647845357,3918872917,
%T A246890 23704560247,143411404177,867589027255,5248533086737,31751477775283,
%U A246890 192084498199057,1162035937634059,7029860030730799,42527901983843695
%N A246890 Number of length n+4 0..6 arrays with some pair in every consecutive five terms totalling exactly 6.
%C A246890 Column 6 of A246892
%H A246890 R. H. Hardin, <a href="/A246890/b246890.txt">Table of n, a(n) for n = 1..210</a>
%F A246890 Empirical: a(n) = 4*a(n-1) +10*a(n-2) +15*a(n-3) +55*a(n-4) -122*a(n-5) -916*a(n-6) -1894*a(n-7) -4648*a(n-8) -9946*a(n-9) +15406*a(n-10) +47913*a(n-11) +39431*a(n-12) +132641*a(n-13) +302885*a(n-14) -291986*a(n-15) -367776*a(n-16) -594557*a(n-17) -536195*a(n-18) +186679*a(n-19) +412560*a(n-20) +695225*a(n-21) +363035*a(n-22) -197211*a(n-23) -184244*a(n-24) -266741*a(n-25) -67874*a(n-26) +101347*a(n-27) +30806*a(n-28) +35298*a(n-29) +1493*a(n-30) -14011*a(n-31) -856*a(n-32) -1905*a(n-33) -259*a(n-34) +427*a(n-35) +47*a(n-36) +37*a(n-37) +9*a(n-38) -5*a(n-39)
%e A246890 Some solutions for n=2
%e A246890 ..3....2....0....1....3....5....4....4....3....5....6....4....1....3....4....4
%e A246890 ..0....2....6....2....2....2....0....6....4....5....0....0....4....3....6....5
%e A246890 ..6....2....0....6....5....6....2....0....3....2....4....4....3....3....0....2
%e A246890 ..1....1....2....4....6....4....1....4....0....1....2....2....2....4....4....4
%e A246890 ..0....5....0....6....0....6....5....3....5....1....3....4....1....4....2....0
%e A246890 ..6....3....2....1....2....1....1....3....6....1....5....6....1....1....3....0
%K A246890 nonn
%O A246890 1,1
%A A246890 _R. H. Hardin_, Sep 06 2014