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 A077644 Number of decimal digits of A070177(n). 5
 1, 2, 9, 32, 107, 347, 1108, 3515, 11132, 35219, 111391, 352269, 1113996, 3522791, 11140072, 35228031, 111400846, 352280442, 1114008610, 3522804578, 11140086260 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 REFERENCES Richard P. Stanley, Enumerative Combinatorics, Cambridge University Press, April 1997, p. 79. LINKS M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy] p. 825. Fredrik Johansson, Efficient implementation of the Hardy-Ramanujan-Rademacher formula, 2012 preprint, to be published in LMS Journal of Computation and Mathematics. Fredrik Johansson, New partition function record: p(10^20) computed (2014) Herbert S. Wilf, Lectures on Integer Partitions FORMULA a(n) = (Pi*sqrt(2/3)*sqrt(10)^n-log(48)/2-n*log(10))/log(10) + O(1). - Charles R Greathouse IV, Jul 10 2012 EXAMPLE p(10^3) = 24061467864032622473692149727991 has 32 decimal digits, so a(3) = 32. MATHEMATICA f[n_] := Floor[ Log[10, PartitionsP[10^n]] + 1]; Array[f, 13, 0] PROG (PARI) a(n)=#Str(numbpart(10^n)) \\ Charles R Greathouse IV, Jul 09 2012 CROSSREFS Cf. A070177. Sequence in context: A082114 A074084 A053152 * A292482 A053369 A076959 Adjacent sequences:  A077641 A077642 A077643 * A077645 A077646 A077647 KEYWORD nonn,base,more AUTHOR Labos Elemer, Nov 15 2002 EXTENSIONS a(0), a(10)-a(12), a(15)=35228031 from Robert G. Wilson v, Jun 08 2010 a(13)-a(19) from Charles R Greathouse IV, Jul 09 2012 based on Johansson 2012 a(20) from Robert G. Wilson v, Mar 02 2014 STATUS approved

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Last modified October 21 03:24 EDT 2019. Contains 328291 sequences. (Running on oeis4.)