A203642 Number of arrays of n 0..11 integers with new values introduced in order 0..11 but otherwise unconstrained

1, 2, 5, 15, 52, 203, 877, 4140, 21147, 115975, 678570, 4213597, 27644436, 190899230, 1382953889, 10479970386, 82859701769, 681942165393, 5829591731684, 51656311613107, 473501669531146, 4480550589850064, 43672799989835155

Offset

1,2

Comments

Column 11 of A203647

Links

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

Index entries for linear recurrences with constant coefficients, signature (67, -1980, 33990, -375573, 2795331, -14241590, 49412660, -113667576, 163671552, -131172480, 43545600).

Formula

Empirical: a(n) = 67*a(n-1) -1980*a(n-2) +33990*a(n-3) -375573*a(n-4) +2795331*a(n-5) -14241590*a(n-6) +49412660*a(n-7) -113667576*a(n-8) +163671552*a(n-9) -131172480*a(n-10) +43545600*a(n-11)

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

Crossrefs

Cf. A203641.

Sequence in context: A203641 A192127 A287673 * A192867 A203643 A192128

Adjacent sequences: A203639 A203640 A203641 * A203643 A203644 A203645

Keyword

nonn

Author

R. H. Hardin Jan 04 2012

Status

approved