A024069 a(n) = 6^n - n^7.

1, 5, -92, -1971, -15088, -70349, -233280, -543607, -417536, 5294727, 50466176, 343309885, 2140950528, 12997945499, 78258750592, 470014125201, 2820841472000, 16926249106063, 101559344448384, 609358846138757

Offset: 0

Author

N. J. A. Sloane

Keywords

• sign
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..500

Programs

Magma

[6^n-n^7: n in [0..25]]; // Vincenzo Librandi, Jul 03 2011

Mathematica

Table[6^n-n^7,{n,0,60}] (* Vladimir Joseph Stephan Orlovsky, Feb 15 2011 *)

Formula

From Chai Wah Wu, Jan 26 2020: (Start)

a(n) = 14*a(n-1) - 76*a(n-2) + 224*a(n-3) - 406*a(n-4) + 476*a(n-5) - 364*a(n-6) + 176*a(n-7) - 49*a(n-8) + 6*a(n-9) for n > 8.

G.f.: (-7*x^8 - 711*x^7 - 7054*x^6 - 13249*x^5 - 4800*x^4 + 527*x^3 + 86*x^2 + 9*x - 1)/((x - 1)^8*(6*x - 1)). (End)