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A203645
Number of arrays of n 0..14 integers with new values introduced in order 0..14 but otherwise unconstrained.
2
1, 2, 5, 15, 52, 203, 877, 4140, 21147, 115975, 678570, 4213597, 27644437, 190899322, 1382958545, 10480142146, 82864869667, 682076796009, 5832741665152, 51724135127267, 474868970216557, 4506688232943076, 44151191130412991
OFFSET
1,2
COMMENTS
Column 14 ofA203647.
LINKS
Index entries for linear recurrences with constant coefficients,signature (106, -5096, 147056, -2840838, 38786748, -385081268, 2816490248, -15200266081, 59999485546, -169679309436, 331303013496, -418753514880, 303268406400, -93405312000).
FORMULA
Empirical: a(n) = 106*a(n-1) -5096*a(n-2) +147056*a(n-3) -2840838*a(n-4) +38786748*a(n-5) -385081268*a(n-6) +2816490248*a(n-7) -15200266081*a(n-8) +59999485546*a(n-9) -169679309436*a(n-10) +331303013496*a(n-11) -418753514880*a(n-12) +303268406400*a(n-13) -93405312000*a(n-14).
Empirical formula confirmed by extension of first ten columns, seeA203641.-Ray Chandler,Jul 06 2024
KEYWORD
nonn
AUTHOR
R. H. Hardin,Jan 04 2012
STATUS
approved