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 A064556 Ramanujan's tau function (or tau numbers (A000594)) for 10^n. 3
 1, -115920, 37534859200, -30328412970240000, -482606811957501440000, -2983637890141033828147200000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Seiichi Manyama, Table of n, a(n) for n = 0..181 Index entries for linear recurrences with constant coefficients, signature (-115920, 124097412800, -11592000000000000, -10000000000000000000000). MATHEMATICA Table[ RamanujanTau[10^n], {n, 0, 5}] PROG (Perl) use bigint; use ntheory ":all"; say "\$_ ", ramanujan_tau(10 ** \$_) for 0..19; # Dana Jacobsen, Sep 05 2015 (PARI) taup(p, e)={ if(e==1, (65*sigma(p, 11)+691*sigma(p, 5)-691*252*sum(k=1, p-1, sigma(k, 5)*sigma(p-k, 5)))/756 , my(t=taup(p, 1)); sum(j=0, e\2, (-1)^j*binomial(e-j, e-2*j)*p^(11*j)*t^(e-2*j) ) ) }; a(n)=taup(5, n)*taup(2, n) \\ Charles R Greathouse IV, Sep 06 2015 CROSSREFS Cf. A000594, A035174. Sequence in context: A237382 A255080 A232577 * A346903 A346887 A346830 Adjacent sequences: A064553 A064554 A064555 * A064557 A064558 A064559 KEYWORD sign AUTHOR Robert G. Wilson v, Jan 04 2003 STATUS approved

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Last modified July 18 09:00 EDT 2024. Contains 374378 sequences. (Running on oeis4.)