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A189329
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Number of nondecreasing arrangements of 6 numbers in 0..n with the last equal to n and each after the second equal to the sum of one or two of the preceding four
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1
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2, 10, 16, 32, 33, 64, 51, 95, 76, 122, 91, 166, 102, 185, 141, 214, 137, 272, 155, 277, 201, 304, 191, 380, 199, 366, 272, 396, 237, 480, 253, 462, 335, 483, 286, 593, 299, 545, 403, 584, 335, 684, 353, 648, 465, 660, 388, 808, 395, 726, 531, 767, 435, 896, 456, 826
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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) = -4*a(n-1) -11*a(n-2) -24*a(n-3) -45*a(n-4) -74*a(n-5) -110*a(n-6) -149*a(n-7) -185*a(n-8) -210*a(n-9) -216*a(n-10) -196*a(n-11) -146*a(n-12) -67*a(n-13) +35*a(n-14) +149*a(n-15) +261*a(n-16) +355*a(n-17) +418*a(n-18) +440*a(n-19) +418*a(n-20) +355*a(n-21) +261*a(n-22) +149*a(n-23) +35*a(n-24) -67*a(n-25) -146*a(n-26) -196*a(n-27) -216*a(n-28) -210*a(n-29) -185*a(n-30) -149*a(n-31) -110*a(n-32) -74*a(n-33) -45*a(n-34) -24*a(n-35) -11*a(n-36) -4*a(n-37) -a(n-38)
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EXAMPLE
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All solutions for n=3
..1....0....1....0....1....2....0....1....1....1....1....0....1....1....1....3
..2....1....2....3....3....3....1....1....1....1....2....1....1....1....1....3
..2....1....3....3....3....3....1....2....2....1....2....1....1....1....2....3
..3....2....3....3....3....3....2....2....3....1....2....1....2....2....2....3
..3....3....3....3....3....3....2....2....3....2....3....2....3....2....3....3
..3....3....3....3....3....3....3....3....3....3....3....3....3....3....3....3
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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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