Search: id:A001947
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%I A001947 M3120 N1265
%S A001947 3,29,322,3571,39603,439204,4870847,54018521,599074578,6643838879,
%T A001947 73681302247,817138163596,9062201101803,100501350283429
%N A001947 Related to Bernoulli numbers.
%D A001947 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A001947 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A001947 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.
%D A001947 J. Riordan, Combinatorial Identities, Wiley, 1968, p. 141.
%H A001947 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 A001947 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 A001947 Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/
               RecursiveSequences.html">Recursive Sequences</a>
%H A001947 <a href="Sindx_Be.html#Bernoulli">Index entries for sequences related 
               to Bernoulli numbers.</a>
%F A001947 G.f.: (3 - 4x) / (1 - 11x + x^2 ).
%F A001947 a(n) = Lucas(5n+2) - Thomas Baruchel (baruchel(AT)users.sourceforge.net), 
               Nov 26 2003
%p A001947 A001947:=(-3+4*z)/(-1+11*z+z**2); [Conjectured by S. Plouffe in his 1992 
               dissertation.]
%Y A001947 Sequence in context: A002669 A112711 A155651 this_sequence A049038 A091646 
               A081506
%Y A001947 Adjacent sequences: A001944 A001945 A001946 this_sequence A001948 A001949 
               A001950
%K A001947 nonn,easy
%O A001947 0,1
%A A001947 N. J. A. Sloane (njas(AT)research.att.com).

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