cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A245957 Number of length 7+3 0..n arrays with some pair in every consecutive four terms totalling exactly n.

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%I A245957 #6 Jul 23 2025 11:30:42
%S A245957 548,31577,300304,2141609,7972932,26526337,67596992,161991665,
%T A245957 335832580,669329801,1217929488,2155659097,3584230244,5837790449,
%U A245957 9084731392,13912683617,20579766372,30053056825,42704873360,60046213001,82587911428
%N A245957 Number of length 7+3 0..n arrays with some pair in every consecutive four terms totalling exactly n.
%C A245957 Row 7 of A245950
%H A245957 R. H. Hardin, <a href="/A245957/b245957.txt">Table of n, a(n) for n = 1..210</a>
%F A245957 Empirical: a(n) = 2*a(n-1) +5*a(n-2) -12*a(n-3) -9*a(n-4) +30*a(n-5) +5*a(n-6) -40*a(n-7) +5*a(n-8) +30*a(n-9) -9*a(n-10) -12*a(n-11) +5*a(n-12) +2*a(n-13) -a(n-14)
%e A245957 Some solutions for n=2
%e A245957 ..1....2....2....2....2....1....0....1....1....2....2....0....0....2....1....1
%e A245957 ..0....0....1....1....2....1....2....1....2....0....1....2....2....0....2....0
%e A245957 ..0....1....2....1....0....0....2....1....0....2....0....1....2....2....0....1
%e A245957 ..1....2....0....0....1....2....0....1....1....0....1....1....2....0....2....0
%e A245957 ..2....0....0....0....2....0....2....2....0....2....0....1....0....0....1....2
%e A245957 ..1....2....2....1....2....0....1....1....2....1....2....0....1....2....2....2
%e A245957 ..2....2....0....2....1....2....2....2....0....0....1....1....0....1....0....2
%e A245957 ..0....0....2....1....1....0....1....1....2....1....0....0....1....1....2....0
%e A245957 ..0....2....1....1....0....1....2....1....2....1....2....2....2....2....0....1
%e A245957 ..0....2....2....0....1....2....1....0....1....2....2....2....0....0....2....1
%K A245957 nonn
%O A245957 1,1
%A A245957 _R. H. Hardin_, Aug 08 2014