cp's OEIS Frontend

A211849 T(n,k)=Number of nonnegative integer arrays of length n+2k+1 with new values 0 upwards introduced in order, no three adjacent elements all unequal, and containing the value k+1.

%I A211849 #8 Jun 02 2025 07:49:59
%S A211849 1,1,5,1,7,19,1,9,35,63,1,11,56,147,196,1,13,82,286,561,588,1,15,113,
%T A211849 494,1302,2013,1731,1,17,149,785,2619,5486,6936,5049,1,19,190,1173,
%U A211849 4755,12713,21897,23244,14689,1,21,236,1672,7996,26163,57913,84003,76434
%N A211849 T(n,k)=Number of nonnegative integer arrays of length n+2k+1 with new values 0 upwards introduced in order, no three adjacent elements all unequal, and containing the value k+1.
%C A211849 Table starts
%C A211849 ....1.....1.....1......1......1.......1.......1.......1........1........1
%C A211849 ....5.....7.....9.....11.....13......15......17......19.......21.......23
%C A211849 ...19....35....56.....82....113.....149.....190.....236......287......343
%C A211849 ...63...147...286....494....785....1173....1672....2296.....3059.....3975
%C A211849 ..196...561..1302...2619...4755....7996...12671...19152....27854....39235
%C A211849 ..588..2013..5486..12713..26163...49210...86275..142968...226230...344475
%C A211849 .1731..6936.21897..57913.134164..280751..542235..981675..1685165..2766870
%C A211849 .5049.23244.84003.251481.651814.1510267.3200979.6311155.11721555.20705130
%H A211849 R. H. Hardin, <a href="/A211849/b211849.txt">Table of n, a(n) for n = 1..9999</a>
%e A211849 Some solutions for n=3 k=4
%e A211849 ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
%e A211849 ..1....1....0....1....0....1....1....0....0....0....1....1....1....1....1....1
%e A211849 ..1....0....1....1....1....1....1....0....1....1....1....1....1....1....1....0
%e A211849 ..2....0....1....2....1....2....2....1....1....1....1....2....2....0....2....0
%e A211849 ..2....2....2....2....1....2....1....1....2....2....2....2....2....0....2....2
%e A211849 ..3....0....2....2....2....3....1....2....2....2....1....2....0....2....3....2
%e A211849 ..3....0....3....3....2....3....3....2....3....3....1....3....0....2....3....3
%e A211849 ..3....3....3....3....3....4....3....3....2....3....3....2....3....3....4....2
%e A211849 ..4....3....4....4....3....4....4....3....2....3....3....2....3....3....4....2
%e A211849 ..4....4....3....4....4....1....4....4....4....4....4....4....4....4....5....4
%e A211849 ..4....4....3....4....4....1....4....4....4....4....4....4....4....4....5....4
%e A211849 ..5....5....5....5....5....5....5....5....5....5....5....5....5....5....4....5
%Y A211849 Row 3 is A192136(n+2)
%K A211849 nonn,tabl
%O A211849 1,3
%A A211849 _R. H. Hardin_ Apr 22 2012