cp's OEIS Frontend

A215192 Number of arrays of 5 0..n integers with no sum of consecutive elements equal to a disjoint adjacent sum of an equal number of elements.

%I A215192 #7 Jul 22 2018 13:57:31
%S A215192 0,30,216,954,2940,7404,16092,31560,57072,96990,156588,242502,362496,
%T A215192 525972,743652,1028184,1393740,1856682,2435112,3149598,4022640,
%U A215192 5079492,6347544,7857204,9641232,11735682,14179152,17013822,20284620,24040320
%N A215192 Number of arrays of 5 0..n integers with no sum of consecutive elements equal to a disjoint adjacent sum of an equal number of elements.
%C A215192 Row 5 of A215190.
%H A215192 R. H. Hardin, <a href="/A215192/b215192.txt">Table of n, a(n) for n = 1..210</a>
%F A215192 Empirical: a(n) = 3*a(n-1) - a(n-2) - 4*a(n-3) + 2*a(n-4) + 2*a(n-5) + 2*a(n-6) - 4*a(n-7) - a(n-8) + 3*a(n-9) - a(n-10).
%F A215192 Empirical g.f.: 6*x^2*(5 + 21*x + 56*x^2 + 69*x^3 + 57*x^4 + 24*x^5 + 8*x^6) / ((1 - x)^6*(1 + x)^2*(1 + x + x^2)). - _Colin Barker_, Jul 22 2018
%e A215192 Some solutions for n=6:
%e A215192 ..5....5....3....4....6....0....6....6....3....2....1....6....2....0....3....2
%e A215192 ..6....3....2....1....4....4....1....5....1....6....5....1....1....1....2....6
%e A215192 ..4....2....5....3....5....1....0....4....3....4....6....3....3....2....5....5
%e A215192 ..1....1....2....0....0....5....2....1....2....3....4....2....2....0....1....2
%e A215192 ..2....0....0....5....6....2....1....5....0....2....1....6....5....4....4....1
%Y A215192 Cf. A215190.
%K A215192 nonn
%O A215192 1,2
%A A215192 _R. H. Hardin_, Aug 05 2012