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A247731
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Number of length 5+3 0..n arrays with no disjoint pairs in any consecutive four terms having the same sum
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1
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8, 656, 9392, 77236, 408644, 1668072, 5532212, 15837692, 40185476, 92896600, 198499032, 397892044, 754772008, 1366836516, 2376338664, 3988754296, 6488751232, 10269159692, 15853887820, 23940629936, 35432070592, 51496627304
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OFFSET
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1,1
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COMMENTS
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LINKS
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FORMULA
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Empirical: a(n) = -3*a(n-1) -6*a(n-2) -9*a(n-3) -10*a(n-4) -7*a(n-5) +2*a(n-6) +17*a(n-7) +36*a(n-8) +54*a(n-9) +64*a(n-10) +59*a(n-11) +35*a(n-12) -9*a(n-13) -67*a(n-14) -128*a(n-15) -177*a(n-16) -199*a(n-17) -182*a(n-18) -122*a(n-19) -24*a(n-20) +98*a(n-21) +222*a(n-22) +323*a(n-23) +378*a(n-24) +372*a(n-25) +299*a(n-26) +167*a(n-27) -5*a(n-28) -189*a(n-29) -354*a(n-30) -470*a(n-31) -516*a(n-32) -482*a(n-33) -372*a(n-34) -202*a(n-35) +202*a(n-37) +372*a(n-38) +482*a(n-39) +516*a(n-40) +470*a(n-41) +354*a(n-42) +189*a(n-43) +5*a(n-44) -167*a(n-45) -299*a(n-46) -372*a(n-47) -378*a(n-48) -323*a(n-49) -222*a(n-50) -98*a(n-51) +24*a(n-52) +122*a(n-53) +182*a(n-54) +199*a(n-55) +177*a(n-56) +128*a(n-57) +67*a(n-58) +9*a(n-59) -35*a(n-60) -59*a(n-61) -64*a(n-62) -54*a(n-63) -36*a(n-64) -17*a(n-65) -2*a(n-66) +7*a(n-67) +10*a(n-68) +9*a(n-69) +6*a(n-70) +3*a(n-71) +a(n-72)
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EXAMPLE
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Some solutions for n=4
..3....1....1....4....3....1....1....1....4....2....1....4....1....0....4....0
..4....1....3....1....0....3....0....4....2....3....3....4....0....1....1....2
..4....3....4....1....4....0....4....4....4....0....3....2....1....0....3....0
..1....4....1....0....2....1....4....3....4....4....2....1....4....0....1....0
..0....3....4....4....1....0....4....0....1....4....1....4....4....4....1....4
..1....0....2....1....1....2....3....2....2....3....3....0....3....1....4....3
..1....3....0....2....3....4....2....2....4....4....1....2....4....1....3....4
..1....2....3....4....0....3....0....2....4....1....0....3....2....3....3....0
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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