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A184707 Number of strings of numbers x(i=1..7) in 0..n with sum i*x(i) equal to n*7 1

%I #5 Mar 31 2012 12:36:01

%S 5,35,154,504,1349,3142,6575,12688,22923,39266,64315,101460,154942,

%T 230095,333394,472735,657496,898863,1209864,1605777,2104139,2725200,

%U 3491939,4430572,5570527,6945053,8591154,10550253,12868125,15595628

%N Number of strings of numbers x(i=1..7) in 0..n with sum i*x(i) equal to n*7

%C Row 7 of A184703

%H R. H. Hardin, <a href="/A184707/b184707.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n)=a(n-1)+a(n-2)-a(n-5)-a(n-7)-a(n-8)+a(n-10)+a(n-11)+2*a(n-12)-2*a(n-16)-a(n-17)-a(n-18)+a(n-20)+a(n-21)+a(n-23)-a(n-26)-a(n-27)+a(n-28)

%e Some solutions for n=3

%e ..1....0....3....0....0....0....1....1....2....2....0....1....2....1....0....0

%e ..3....0....2....2....2....0....0....1....1....2....3....1....0....0....0....2

%e ..1....0....0....2....0....3....3....2....0....2....0....0....0....1....3....0

%e ..0....0....2....1....3....0....0....0....1....1....2....1....2....0....3....1

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

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

%e ..0....3....0....1....0....0....0....0....1....0....1....2....0....1....0....1

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 20 2011

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Last modified September 5 21:36 EDT 2024. Contains 375700 sequences. (Running on oeis4.)