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A241943 Number of length 7+4 0..n arrays with no consecutive five elements summing to more than 2*n. 1

%I #6 Mar 07 2022 14:17:23

%S 300,13783,235307,2237881,14484953,71410234,287426800,988849923,

%T 3001975962,8229334021,20724057835,48580810915,107107895363,

%U 223936999508,446973165720,856397420093,1582318291368,2830137107267,4916257200659

%N Number of length 7+4 0..n arrays with no consecutive five elements summing to more than 2*n.

%C Row 7 of A241936.

%H R. H. Hardin, <a href="/A241943/b241943.txt">Table of n, a(n) for n = 1..96</a>

%F Empirical: a(n) = (21071/1108800)*n^11 + (544273/1814400)*n^10 + (154375/72576)*n^9 + (38713/4320)*n^8 + (944693/37800)*n^7 + (4201009/86400)*n^6 + (8184077/120960)*n^5 + (12291059/181440)*n^4 + (21852197/453600)*n^3 + (28049/1200)*n^2 + (97403/13860)*n + 1.

%e Some solutions for n=2

%e ..1....1....0....2....2....0....1....1....1....2....2....1....1....1....1....0

%e ..0....0....1....0....1....1....1....1....0....0....0....0....0....1....1....0

%e ..1....1....1....2....0....0....0....0....0....1....1....2....1....0....0....1

%e ..0....0....1....0....1....1....1....0....2....0....0....1....0....2....1....1

%e ..0....1....1....0....0....0....0....1....1....1....0....0....1....0....0....0

%e ..2....1....0....0....1....0....0....0....0....0....0....0....0....0....1....1

%e ..0....1....1....0....0....0....0....2....0....0....0....1....0....1....0....0

%e ..0....0....1....0....0....0....0....1....1....0....0....1....2....1....0....0

%e ..0....0....0....0....1....1....0....0....2....2....2....1....0....0....0....1

%e ..0....0....1....1....2....0....1....0....0....0....0....1....0....0....2....1

%e ..0....1....1....0....1....2....0....1....1....1....2....0....0....0....0....2

%Y Cf. A241936.

%K nonn

%O 1,1

%A _R. H. Hardin_, May 02 2014

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Last modified April 17 13:58 EDT 2024. Contains 371764 sequences. (Running on oeis4.)