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(Maxima) makelist(floor(50^n/49), n, 0, 30); /* Martin Ettl, Nov 06 2012 */;
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E.g.f.: exp(x)*(exp(49*x) - 1)/49. - Elmo R. Oliveira, Aug 29 2024
a(n) = (50^n - 1)/49.
0, 1, 51, 2551, 127551, 6377551, 318877551, 15943877551, 797193877551, 39859693877551, 1992984693877551, 99649234693877551, 4982461734693877551, 249123086734693877551, 12456154336734693877551, 622807716836734693877551, 31140385841836734693877551
<a href="/index/Par#partial">Index entries related to partial sums</a>.
<a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (51,-50).
a(n) = floor( 50^n/49 ).
Cf. A165800.
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(50^Range[0, 20]-1)/49 (* Harvey P. Dale, Sep 12 2022 *)
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(MAGMAMagma) [n le 2 select n-1 else 51*Self(n-1) - 50*Self(n-2): n in [1..20]]; // Vincenzo Librandi, Nov 08 2012