A203644 Number of arrays of n 0..13 integers with new values introduced in order 0..13 but otherwise unconstrained.

1, 2, 5, 15, 52, 203, 877, 4140, 21147, 115975, 678570, 4213597, 27644437, 190899322, 1382958544, 10480142026, 82864861847, 682076428809, 5832727748374, 51723682798067, 474855882753977, 4506342616999876, 44142711725983660

Offset

1,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (92, -3809, 93808, -1530243, 17419116, -141963107, 835933384, -3542188936, 10614910592, -21727767984, 28528276608, -21289201920, 6706022400).

Formula

Empirical: a(n) = 92*a(n-1) -3809*a(n-2) +93808*a(n-3) -1530243*a(n-4) +17419116*a(n-5) -141963107*a(n-6) +835933384*a(n-7) -3542188936*a(n-8) +10614910592*a(n-9) -21727767984*a(n-10) +28528276608*a(n-11) -21289201920*a(n-12) +6706022400*a(n-13).

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

Crossrefs

Column 13 of A203647.

Cf. A203641.

Sequence in context: A192867 A203643 A192128 * A203645 A203646 A292935

Adjacent sequences: A203641 A203642 A203643 * A203645 A203646 A203647

Keyword

nonn

Author

R. H. Hardin, Jan 04 2012

Status

approved