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
Keywords
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).
Crossrefs
Cf. A203641.
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
Comments