cp's OEIS Frontend

A202255 Number of zero-sum -n..n arrays of 5 elements with adjacent element differences also in -n..n.

%I A202255 #9 Jul 22 2025 16:31:28
%S A202255 15,107,397,1077,2385,4643,8211,13533,21091,31461,45241,63135,85861,
%T A202255 114251,149145,191501,242277,302561,373433,456105,551777,661793,
%U A202255 787469,930277,1091655,1273201,1476475,1703201,1955057,2233899,2541525,2879915
%N A202255 Number of zero-sum -n..n arrays of 5 elements with adjacent element differences also in -n..n.
%C A202255 Row 5 of A202252
%H A202255 R. H. Hardin, <a href="/A202255/b202255.txt">Table of n, a(n) for n = 1..210</a>
%F A202255 Empirical: a(n) = a(n-1) +a(n-2) -a(n-5) -a(n-6) -a(n-7) +a(n-8) +a(n-9) +a(n-10) -a(n-13) -a(n-14) +a(n-15).
%F A202255 Empirical: G.f. -x*(15 +92*x +275*x^2 +573*x^3 +911*x^4 +1196*x^5 +1305*x^6 +1198*x^7 +913*x^8 +574*x^9 +275*x^10 +91*x^11 +13*x^12 +x^14) / ( (1+x+x^2) *(x^4+x^3+x^2+x+1) *(x^2+1) *(1+x)^2 *(x-1)^5 ). - R. J. Mathar, Dec 15 2011
%e A202255 Some solutions for n=10
%e A202255 .-3....5....0...-6....3....4....4...-6....1....7....4...-5...-2....4...-4...-3
%e A202255 .-3...-3...-9...-5...10....4....3...-4....5....0....5....1....4...-3....3....1
%e A202255 .-7....4....0....0....1...-1...-4....4...-2...-2....3....5....5....5....5....1
%e A202255 ..3...-3....7...10...-5...-7...-6...-1...-3...-5...-3...-3...-1....1....3....1
%e A202255 .10...-3....2....1...-9....0....3....7...-1....0...-9....2...-6...-7...-7....0
%K A202255 nonn
%O A202255 1,1
%A A202255 _R. H. Hardin_ Dec 14 2011