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<a href="/index/Rec#order_15">Index entries for linear recurrences with constant coefficients</a>, signature (121, -6685, 223405, -5042947, 81308227, -965408015, 8576039615, -57312583328, 287212533608, -1066335473840, 2866534951280, -5367984964224, 6557974412544, -4622628648960, 1394852659200).

Empirical formula confirmed by extension of first ten columns, see A203641. - Ray Chandler, Jul 06 2024

Cf. A203641.

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Number of arrays of n 0..15 integers with new values introduced in order 0..15 but otherwise unconstrained.

Column 15 of A203647.

Empirical: a(n) = 121*a(n-1) -6685*a(n-2) +223405*a(n-3) -5042947*a(n-4) +81308227*a(n-5) -965408015*a(n-6) +8576039615*a(n-7) -57312583328*a(n-8) +287212533608*a(n-9) -1066335473840*a(n-10) +2866534951280*a(n-11) -5367984964224*a(n-12) +6557974412544*a(n-13) -4622628648960*a(n-14) +1394852659200*a(n-15).

R. H. Hardin , Jan 04 2012

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_R. H. Hardin (rhhardin(AT)att.net) _ Jan 04 2012

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R. H. Hardin, <a href="/A203646/b203646.txt">Table of n, a(n) for n = 1..210</a>

allocated for Ron HardinNumber of arrays of n 0..15 integers with new values introduced in order 0..15 but otherwise unconstrained

1, 2, 5, 15, 52, 203, 877, 4140, 21147, 115975, 678570, 4213597, 27644437, 190899322, 1382958545, 10480142147, 82864869803, 682076806005, 5832742192288, 51724157478221, 474869780161021, 4506714279517080, 44151953491540255

1,2

Column 15 of A203647

Empirical: a(n) = 121*a(n-1) -6685*a(n-2) +223405*a(n-3) -5042947*a(n-4) +81308227*a(n-5) -965408015*a(n-6) +8576039615*a(n-7) -57312583328*a(n-8) +287212533608*a(n-9) -1066335473840*a(n-10) +2866534951280*a(n-11) -5367984964224*a(n-12) +6557974412544*a(n-13) -4622628648960*a(n-14) +1394852659200*a(n-15)

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R. H. Hardin (rhhardin(AT)att.net) Jan 04 2012

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