A203643 Number of arrays of n 0..12 integers with new values introduced in order 0..12 but otherwise unconstrained

1, 2, 5, 15, 52, 203, 877, 4140, 21147, 115975, 678570, 4213597, 27644437, 190899321, 1382958439, 10480136006, 82864611947, 682068020031, 5832484170844, 51717380273487, 474706578749477, 4503047451718545, 44074082550176545

Offset

1,2

Comments

Column 12 of A203647

Links

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

Index entries for linear recurrences with constant coefficients, signature (79, -2783, 57695, -782133, 7284057, -47627789, 219409685, -703202566, 1519272964, -2082477528, 1606986720, -518918400).

Formula

Empirical: a(n) = 79*a(n-1) -2783*a(n-2) +57695*a(n-3) -782133*a(n-4) +7284057*a(n-5) -47627789*a(n-6) +219409685*a(n-7) -703202566*a(n-8) +1519272964*a(n-9) -2082477528*a(n-10) +1606986720*a(n-11) -518918400*a(n-12)

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

Crossrefs

Cf. A203641.

Sequence in context: A287673 A203642 A192867 * A192128 A203644 A203645

Adjacent sequences: A203640 A203641 A203642 * A203644 A203645 A203646

Keyword

nonn

Author

R. H. Hardin Jan 04 2012

Status

approved