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A207102 Number of 0..n arrays x(0..4) of 5 elements with each no smaller than the sum of its two previous neighbors modulo (n+1) 1

%I

%S 12,55,176,441,989,1904,3504,5925,9652,14850,22390,32305,45920,63323,

%T 86112,114393,150567,194218,248704,313495,392480,485024,596300,724705,

%U 876876,1051011,1254512,1485177,1752481,2052448,2396864,2781317,3218508

%N Number of 0..n arrays x(0..4) of 5 elements with each no smaller than the sum of its two previous neighbors modulo (n+1)

%C Row 5 of A207100

%H R. H. Hardin, <a href="/A207102/b207102.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = -3*a(n-1) -2*a(n-2) +5*a(n-3) +12*a(n-4) +9*a(n-5) -3*a(n-6) -14*a(n-7) -19*a(n-8) -17*a(n-9) -3*a(n-10) +20*a(n-11) +32*a(n-12) +20*a(n-13) -3*a(n-14) -17*a(n-15) -19*a(n-16) -14*a(n-17) -3*a(n-18) +9*a(n-19) +12*a(n-20) +5*a(n-21) -2*a(n-22) -3*a(n-23) -a(n-24)

%e Some solutions for n=5

%e ..2....2....0....3....0....0....3....3....0....0....3....0....4....4....4....3

%e ..2....3....1....5....4....4....4....3....3....3....3....1....4....4....4....4

%e ..5....5....5....2....4....5....3....3....5....4....4....3....4....4....4....5

%e ..3....3....4....4....2....4....3....5....5....2....3....4....4....3....2....4

%e ..4....5....3....0....1....3....5....5....4....2....1....2....4....4....0....4

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 15 2012

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Last modified February 8 04:10 EST 2023. Contains 360134 sequences. (Running on oeis4.)