A203646 Number 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

Offset

1,2

Comments

Column 15 of A203647.

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Index entries for linear recurrences with constant coefficients, signature (121, -6685, 223405, -5042947, 81308227, -965408015, 8576039615, -57312583328, 287212533608, -1066335473840, 2866534951280, -5367984964224, 6557974412544, -4622628648960, 1394852659200).

Formula

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).

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

Crossrefs

Cf. A203641.

Sequence in context: A192128 A203644 A203645 * A292935 A000110 A336022

Adjacent sequences: A203643 A203644 A203645 * A203647 A203648 A203649

Keyword

nonn

Author

R. H. Hardin, Jan 04 2012

Status

approved