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A214598
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Number of 5X5X5 triangular 0..n arrays with every horizontal row having the same average value
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1
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2, 20351, 187862, 3330677, 20608352, 121537201, 493575042, 1877543213, 5767190924, 16841357893, 42868858260, 105147415789, 233567627514, 505276944133, 1015252318954, 1995846081585, 3708725498234, 6772671546085
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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) = -14*a(n-1) -103*a(n-2) -523*a(n-3) -2037*a(n-4) -6416*a(n-5) -16803*a(n-6) -37004*a(n-7) -68163*a(n-8) -101576*a(n-9) -108846*a(n-10) -35709*a(n-11) +188220*a(n-12) +610219*a(n-13) +1182816*a(n-14) +1683142*a(n-15) +1681232*a(n-16) +634962*a(n-17) -1837434*a(n-18) -5548937*a(n-19) -9379421*a(n-20) -11246005*a(n-21) -8675945*a(n-22) -19085*a(n-23) +14068354*a(n-24) +29634368*a(n-25) +39812706*a(n-26) +37051642*a(n-27) +16770832*a(n-28) -19008463*a(n-29) -60093479*a(n-30) -90231081*a(n-31) -93014760*a(n-32) -59648029*a(n-33) +4933489*a(n-34) +81105797*a(n-35) +140396619*a(n-36) +156579200*a(n-37) +117529811*a(n-38) +32282085*a(n-39) -70640875*a(n-40) -153698573*a(n-41) -185452424*a(n-42) -153698573*a(n-43) -70640875*a(n-44) +32282085*a(n-45) +117529811*a(n-46) +156579200*a(n-47) +140396619*a(n-48) +81105797*a(n-49) +4933489*a(n-50) -59648029*a(n-51) -93014760*a(n-52) -90231081*a(n-53) -60093479*a(n-54) -19008463*a(n-55) +16770832*a(n-56) +37051642*a(n-57) +39812706*a(n-58) +29634368*a(n-59) +14068354*a(n-60) -19085*a(n-61) -8675945*a(n-62) -11246005*a(n-63) -9379421*a(n-64) -5548937*a(n-65) -1837434*a(n-66) +634962*a(n-67) +1681232*a(n-68) +1683142*a(n-69) +1182816*a(n-70) +610219*a(n-71) +188220*a(n-72) -35709*a(n-73) -108846*a(n-74) -101576*a(n-75) -68163*a(n-76) -37004*a(n-77) -16803*a(n-78) -6416*a(n-79) -2037*a(n-80) -523*a(n-81) -103*a(n-82) -14*a(n-83) -a(n-84)
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EXAMPLE
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Some solutions for n=3
......2..........1..........2..........1..........1..........2..........2
.....1.3........0.2........2.2........0.2........1.1........2.2........2.2
....3.0.3......0.1.2......1.3.2......1.2.0......0.2.1......3.2.1......1.3.2
...0.3.3.2....1.0.3.0....2.3.3.0....1.1.0.2....0.0.1.3....1.3.1.3....2.3.1.2
..3.1.2.1.3..1.1.3.0.0..1.2.3.3.1..2.1.0.0.2..1.0.2.2.0..3.1.0.3.3..1.3.2.3.1
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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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