A024083 a(n) = 7^n - n^8.
1, 6, -207, -6218, -63135, -373818, -1561967, -4941258, -11012415, -2693114, 182475249, 1762967862, 13411305505, 96073279686, 676747283793, 4744998619318, 33228635602305, 232623538229766, 1628402577949873
Offset: 0
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..400
- Index entries for linear recurrences with constant coefficients, signature (16, -99, 336, -714, 1008, -966, 624, -261, 64, -7).
Programs
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GAP
List([0..20],n->7^n-n^8); # Muniru A Asiru, Jul 15 2018
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Magma
[7^n-n^8: n in [0..20]]; // Vincenzo Librandi, Jul 04 2011
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Maple
seq(7^k-k^8,k=0..20); # Muniru A Asiru, Jul 15 2018
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Mathematica
Table[7^n-n^8,{n,0,60}] (* Vladimir Joseph Stephan Orlovsky, Feb 15 2011 *) LinearRecurrence[{16,-99,336,-714,1008,-966,624,-261,64,-7},{1,6,-207,-6218,-63135,-373818,-1561967,-4941258,-11012415,-2693114},20] (* Harvey P. Dale, Jul 12 2014 *)
Formula
a(0)=1, a(1)=6, a(2)=-207, a(3)=-6218, a(4)=-63135, a(5)=-373818, a(6)=-1561967, a(7)=-4941258, a(8)=-11012415, a(9)=-2693114, a(n)= 16*a(n-1) - 99*a(n-2) + 336*a(n-3) - 714*a(n-4) + 1008*a(n-5) - 966*a(n-6) + 624*a(n-7) - 261*a(n-8) + 64*a(n-9) - 7*a(n-10). - Harvey P. Dale, Jul 12 2014