Search: id:A001023
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%I A001023 M4949 N2120
%S A001023 1,14,196,2744,38416,537824,7529536,105413504,1475789056,20661046784,
%T A001023 289254654976,4049565169664,56693912375296,793714773254144,
%U A001023 11112006825558016,155568095557812224,2177953337809371136,30491346729331195904,
               426878854210636742656,5976303958948914397184,83668255425284801560576
%N A001023 Powers of 14.
%C A001023 A000005(a(n)) = A000290(n+1). - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), 
               Mar 04 2007
%C A001023 Number of n-permutations of 15 objects: l, m, n, o, p, q, r, s, t, u, 
               v, w, z, x, y with repetition allowed and containing no u's, (u-free). 
               Permutations with repetitions! If n=0 then 1 >>14^0=1 "". (no u's.) 
               If n=1 then 13 >>14^1=14, >> l, m, n, o, p, q, r, s, t, v, w, z, 
               x, y. (no u's.) etc. [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               Jul 01 2009]
%D A001023 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A001023 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A001023 S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques 
               Conjectures, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 
               1992.
%H A001023 T. D. Noe, <a href="b001023.txt">Table of n, a(n) for n=0..100</a>
%H A001023 S. Plouffe, <a href="http://www.lacim.uqam.ca/%7Eplouffe/articles/MasterThesis.pdf">
               Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures</
               a>, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 
               1992.
%H A001023 S. Plouffe, <a href="http://www.lacim.uqam.ca/%7Eplouffe/articles/FonctionsGeneratrices.pdf">
               1031 Generating Functions and Conjectures</a>, Universit\'{e} du 
               Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
%H A001023 Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/
               RecursiveSequences.html">Recursive Sequences</a>
%H A001023 Y. Puri and T. Ward, <a href="http://www.cs.uwaterloo.ca/journals/JIS/
               index.html">Arithmetic and growth of periodic orbits</a>, J. Integer 
               Seqs., Vol. 4 (2001), #01.2.1.
%H A001023 P. J. Cameron, <a href="http://www.cs.uwaterloo.ca/journals/JIS/index.html">
               Sequences realized by oligomorphic permutation groups</a>, J. Integ. 
               Seqs. Vol. 3 (2000), #00.1.5.
%H A001023 INRIA Algorithms Project, <a href="http://algo.inria.fr/bin/encyclopedia?Search=ECSnb&argsearch=278">
               Encyclopedia of Combinatorial Structures 278</a>
%F A001023 G.f.: 1/(1-14x), e.g.f.: exp(14x)
%p A001023 A001023:=-1/(-1+14*z); [Conjectured by S. Plouffe in his 1992 dissertation.]
%o A001023 (Other) sage: [lucas_number1(n,14,0) for n in xrange(1, 18)]# [From Zerinvary 
               Lajos (zerinvarylajos(AT)yahoo.com), Apr 29 2009]
%Y A001023 Sequence in context: A086946 A158530 A007655 this_sequence A067221 A072533 
               A041085
%Y A001023 Adjacent sequences: A001020 A001021 A001022 this_sequence A001024 A001025 
               A001026
%K A001023 nonn,easy
%O A001023 0,2
%A A001023 N. J. A. Sloane (njas(AT)research.att.com).
%E A001023 More terms from James A. Sellers (sellersj(AT)math.psu.edu), Sep 19 2000
%E A001023 More terms from Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Aug 
               06 2009

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