A083200 Polynexus numbers of order 7.
0, 1, 17, 118, 514, 1681, 4529, 10612, 22380, 43473, 79057, 136202, 224302, 355537, 545377, 813128, 1182520, 1682337, 2347089, 3217726, 4342394, 5777233, 7587217, 9847036, 12642020, 16069105, 20237841, 25271442, 31307878, 38501009, 47021761, 57059344, 68822512
Offset: 1
Links
- Bruno Berselli, Table of n, a(n) for n = 1..1000
- Index entries for linear recurrences with constant coefficients, signature (7,-21,35,-35,21,-7,1).
Programs
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Mathematica
Table[((n^7 - (n - 1)^7) - (n^3 - (n - 1)^3))/120, {n, 31}] (* Bruno Berselli, Feb 13 2012 *)
Formula
a(n) = ((n^7-(n-1)^7)-(n^3-(n-1)^3))/120.
G.f.: x^2*(1+10*x+20*x^2+10*x^3+x^4)/(1-x)^7. - Bruno Berselli, Feb 13 2012
Extensions
More terms from David Wasserman, Oct 26 2004
Offset changed (according to the formula) from Bruno Berselli, Feb 13 2012