A017355 a(n) = (10*n + 7)^3.
343, 4913, 19683, 50653, 103823, 185193, 300763, 456533, 658503, 912673, 1225043, 1601613, 2048383, 2571353, 3176523, 3869893, 4657463, 5545233, 6539203, 7645373, 8869743, 10218313, 11697083
Offset: 0
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..10000
- Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).
Crossrefs
Cf. A272914, first comment. [From Bruno Berselli, May 26 2016]
Programs
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Magma
[(10*n+7)^3: n in [0..40]]; // Vincenzo Librandi, Aug 30 2011
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Mathematica
(10 Range[0, 40] + 7)^3 (* or *) LinearRecurrence[{4, -6, 4, -1}, {343, 4913, 19683, 50653}, 40] (* Harvey P. Dale, Jun 11 2015 *)
Formula
a(0)=343, a(1)=4913, a(2)=19683, a(3)=50653; for n>3, a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4). - Harvey P. Dale, Jun 11 2015