Search: id:A005149
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%I A005149 M5168
%S A005149 1,24,852,35744,1645794,80415216,4094489992,214888573248,11542515402255,
%T A005149 631467591949480,35063515239394764,1971043639046131296,111949770626330347638,
%U A005149 6414671157989386260432,370360217892318010055832,21525284426246779936288192
%V A005149 1,-24,852,-35744,1645794,-80415216,4094489992,-214888573248,11542515402255,
%W A005149 -631467591949480,35063515239394764,-1971043639046131296,111949770626330347638,
%X A005149 -6414671157989386260432,370360217892318010055832,-21525284426246779936288192
%N A005149 Sequence of coefficients arising in connection with a rapidly converging 
               series for Pi.
%D A005149 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A005149 M. Newman and D. Shanks, On a sequence arising in series for pi, Math. 
               Comp., 42 (1984), 199-217.
%H A005149 <a href="Sindx_Ph.html#Pi314">Index entries for sequences related to 
               the number Pi</a>
%H A005149 <a href="Sindx_Res.html#revert">Index entries for reversions of series</
               a>
%F A005149 REVERT(A014103).
%o A005149 (PARI) a(n)=if(n<1,0,polcoeff(serreverse(x*prod(k=1,n,1+x^k,1+x*O(x^n))^24),
               n))
%Y A005149 Cf. A005148.
%Y A005149 Sequence in context: A062528 A158651 A078522 this_sequence A027411 A109575 
               A160111
%Y A005149 Adjacent sequences: A005146 A005147 A005148 this_sequence A005150 A005151 
               A005152
%K A005149 sign,nice
%O A005149 1,2
%A A005149 Simon Plouffe, N. J. A. Sloane (njas(AT)research.att.com).
%E A005149 Formula and more terms from Michael Somos, Nov 24, 2001
%E A005149 Signs corrected Dec 24 2001

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