Search: id:A001014
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%I A001014 M5330 N2318
%S A001014 0,1,64,729,4096,15625,46656,117649,262144,531441,1000000,1771561,
%T A001014 2985984,4826809,7529536,11390625,16777216,24137569,34012224,47045881,
%U A001014 64000000,85766121,113379904,148035889,191102976,244140625,308915776
%N A001014 6th powers: a(n) = n^6.
%C A001014 Numbers both square and cubic - pdg(AT)worldofnumbers.com.
%C A001014 Totally multiplicative sequence with a(p) = p^6 for prime p. [From Jaroslav 
               Krizek (jaroslav.krizek(AT)atlas.cz), Nov 01 2009]
%D A001014 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A001014 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A001014 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 A001014 Franklin T. Adams-Watters, <a href="b001014.txt">Table of n, a(n) for 
               n = 0..500</a>
%H A001014 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 A001014 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 A001014 Henry Bottomley, <a href="a001014.gif">Illustration of initial terms</
               a>
%F A001014 Multiplicative with a(p^e) = p^(6e). - David W. Wilson (davidwwilson(AT)comcast.net), 
               Aug 01, 2001.
%p A001014 a:=n->sum(sum(n^4, j=1..n),k=1..n): seq(a(n), n=0..26); - Zerinvary Lajos 
               (zerinvarylajos(AT)yahoo.com), May 09 2007
%p A001014 A001014:=-(z+1)*(z**4+56*z**3+246*z**2+56*z+1)/(z-1)**7; [Conjectured 
               by S. Plouffe in his 1992 dissertation.]
%p A001014 {seq( i^3, i = 0..15900)} intersect {seq(k^2, k= 0..15900)} ; - Zerinvary 
               Lajos (zerinvarylajos(AT)yahoo.com), Apr 26 2008
%p A001014 with(finance):seq(add(growingperpetuity(n^5,2,1),k=1..n),n=0..26);# [From 
               Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 22 2008]
%Y A001014 a(n) = A123866(n) + 1.
%Y A001014 Sequence in context: A016899 A017676 A055015 this_sequence A050753 A074154 
               A153160
%Y A001014 Adjacent sequences: A001011 A001012 A001013 this_sequence A001015 A001016 
               A001017
%K A001014 nonn,easy,mult
%O A001014 0,3
%A A001014 N. J. A. Sloane (njas(AT)research.att.com).

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