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 A178191 Numerators of sum (1/7)^((k^2+3k)/2) from k=1 to n. 1
 1, 344, 825945, 13881657616, 1633163136864785, 1344980069223035633256, 7753542448037025041629822057, 312883404805904029979088478768109600, 88381817680515537538446482833052972519290401 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Series of the kind m^((k^2+3k)/2) from k=1 to n was studied by Bernoulli and Euler. LINKS Vincenzo Librandi, Table of n, a(n) for n = 1..45 MATHEMATICA aa = {}; m = 1/7; sum = 0; Do[sum = sum + m^((n + 3) n/2); AppendTo[aa, Numerator[sum]], {n, 1, 20}]; aa (*Artur Jasinski*) Numerator[Accumulate[Table[(1/7)^((n^2+3n)/2), {n, 10}]]] (* Harvey P. Dale, Jul 21 2016 *) PROG (PARI) a(n) = numerator(sum(k=1, n, (1/7)^((k^2+3*k)/2))); \\ Michel Marcus, Sep 09 2013 CROSSREFS Cf. A178184-A178193. Sequence in context: A202904 A086028 A220650 * A172934 A172952 A306670 Adjacent sequences: A178188 A178189 A178190 * A178192 A178193 A178194 KEYWORD frac,nonn AUTHOR Artur Jasinski, May 21 2010 STATUS approved

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Last modified June 17 08:51 EDT 2024. Contains 373444 sequences. (Running on oeis4.)