A017359 a(n) = (10*n + 7)^7.

823543, 410338673, 10460353203, 94931877133, 506623120463, 1954897493193, 6060711605323, 16048523266853, 37725479487783, 80798284478113, 160578147647843, 300124211606973, 532875860165503

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Comments

The penultimate digit of a(n) is period 10, repeat (4,7,0,3,6,9,2,5,8,1) = A131579(n+8). - Paul Curtz, Mar 07 2011

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..10000
• Index entries for linear recurrences with constant coefficients, signature (8, -28, 56, -70, 56, -28, 8, -1).

Programs

Magma

[(10*n+7)^7: n in [0..20]]; // Vincenzo Librandi, Aug 14 2011

Mathematica

Table[(10*n + 7)^7, {n,0,20}] (* G. C. Greubel, Nov 08 2018 *)

PARI

vector(20, n, n--; (10*n + 7)^7) \\ G. C. Greubel, Nov 08 2018

Formula

From G. C. Greubel, Nov 08 2018: (Start)

G.f.: (823543 + 403750329*x + 7200703023*x^2 + 22692415945*x^3 + 17136675405*x^4 + 2902898547*x^5 + 62731021*x^6 + 2187*x^7)/(1-x)^8.

E.g.f.: (823543 [phone]*x [phone]*x^2 [phone]*x^3 + 7834050000*x^4 [phone]*x^5 [phone]*x^6 + 10000000*x^7)*exp(x). (End)