A272357 a(n) = n*(105*n^3 - 210*n^2 + 147*n - 34).
0, 8, 520, 4056, 15656, 42880, 95808, 187040, 331696, 547416, 854360, 1275208, 1835160, 2561936, 3485776, 4639440, 6058208, 7779880, 9844776, 12295736, 15178120, 18539808, 22431200, 26905216, 32017296, 37825400, 44390008, 51774120, 60043256, 69265456
Offset: 0
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..1000
- Richard P. Brent, Generalising Tuenter's binomial sums, arXiv:1407.3533 [math.CO], 2014 (page 16).
- Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).
Programs
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Magma
[n*(105*n^3-210*n^2+147*n-34): n in [0..40]];
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Mathematica
Table[n (105 n^3 - 210 n^2 + 147 n - 34), {n, 0, 40}] -
PARI
concat(0, Vec(8*x*(1+60*x+192*x^2+62*x^3)/(1-x)^5 + O(x^99))) \\ Altug Alkan, Jul 06 2016