Search: id:A001024
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%I A001024 M4990 N2147
%S A001024 1,15,225,3375,50625,759375,11390625,170859375,2562890625,38443359375,
%T A001024 576650390625,8649755859375,129746337890625,1946195068359375,
%U A001024 29192926025390625,437893890380859375,6568408355712890625,98526125335693359375,
               1477891880035400390625,22168378200531005859375,332525673007965087890625
%N A001024 Powers of 15.
%C A001024 A000005(a(n)) = A000290(n+1). - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), 
               Mar 04 2007
%C A001024 If X_1, X_2, ..., X_n is a partition of the set {1,2,...,2*n} into blocks 
               of size 2 then, for n>=1, a(n) is equal to the number of functions 
               f : {1,2,..., 2*n}->{1,2,3,4} such that for fixed y_1,y_2,...,y_n 
               in {1,2,3,4} we have f(X_i)<>{y_i}, (i=1,2,...,n). - Milan R. Janjic 
               (agnus(AT)blic.net), May 24 2007
%D A001024 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A001024 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%H A001024 T. D. Noe, <a href="b001024.txt">Table of n, a(n) for n=0..100</a>
%H A001024 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 A001024 INRIA Algorithms Project, <a href="http://algo.inria.fr/bin/encyclopedia?Search=ECSnb&argsearch=279">
               Encyclopedia of Combinatorial Structures 279</a>
%H A001024 Milan Janjic, <a href="http://www.pmfbl.org/janjic/">Enumerative Formulas 
               for Some Functions on Finite Sets</a>
%H A001024 Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/
               RecursiveSequences.html">Recursive Sequences</a>
%H A001024 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 A001024 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 A001024 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.
%F A001024 G.f.: 1/(1-15x), e.g.f.: exp(15x)
%p A001024 A001024:=-1/(-1+15*z); [S. Plouffe in his 1992 dissertation.]
%o A001024 (Other) sage: [lucas_number1(n,15,0) for n in xrange(1, 18)]# [From Zerinvary 
               Lajos (zerinvarylajos(AT)yahoo.com), Apr 29 2009]
%Y A001024 a(n) = A159991(n)/A000302(n). [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), 
               May 02 2009]
%Y A001024 Sequence in context: A137916 A078364 A012852 this_sequence A012643 A067222 
               A154597
%Y A001024 Adjacent sequences: A001021 A001022 A001023 this_sequence A001025 A001026 
               A001027
%K A001024 nonn
%O A001024 0,2
%A A001024 N. J. A. Sloane (njas(AT)research.att.com).
%E A001024 More terms from James A. Sellers (sellersj(AT)math.psu.edu), Sep 19 2000
%E A001024 More terms from Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Aug 
               06 2009

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