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Search: id:A005149
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| A005149 |
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Sequence of coefficients arising in connection with a rapidly converging series for Pi.
(Formerly M5168)
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+0
3
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| 1, -24, 852, -35744, 1645794, -80415216, 4094489992, -214888573248, 11542515402255, -631467591949480, 35063515239394764, -1971043639046131296, 111949770626330347638, -6414671157989386260432, 370360217892318010055832, -21525284426246779936288192
(list; graph; listen)
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OFFSET
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1,2
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
M. Newman and D. Shanks, On a sequence arising in series for pi, Math. Comp., 42 (1984), 199-217.
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LINKS
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Index entries for sequences related to the number Pi
Index entries for reversions of series
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FORMULA
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REVERT(A014103).
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PROGRAM
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(PARI) a(n)=if(n<1, 0, polcoeff(serreverse(x*prod(k=1, n, 1+x^k, 1+x*O(x^n))^24), n))
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CROSSREFS
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Cf. A005148.
Sequence in context: A062528 A158651 A078522 this_sequence A027411 A109575 A160111
Adjacent sequences: A005146 A005147 A005148 this_sequence A005150 A005151 A005152
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KEYWORD
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sign,nice
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AUTHOR
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Simon Plouffe, N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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Formula and more terms from Michael Somos, Nov 24, 2001
Signs corrected Dec 24 2001
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