A017360 a(n) = (10*n + 7)^8.

5764801, 6975757441, 282429536481, 3512479453921, 23811286661761, 111429157112001, 406067677556641, 1235736291547681, 3282116715437121, 7837433594376961, 17181861798319201, 35114532758015841, 67675234241018881

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..10000
• Index entries for linear recurrences with constant coefficients, signature (9, -36, 84, -126, 126, -84, 36, -9, 1).

Crossrefs

Cf. A017353 (10*n+7), A001016 (n^8).

Programs

Magma

[(10*n+7)^8: n in [0..20]]; // Vincenzo Librandi, Aug 30 2011

Mathematica

(10*Range[0,20]+7)^8 (* or *) LinearRecurrence[{9,-36,84,-126,126,-84,36,-9,1},{5764801,6975757441,282429536481,3512479453921,23811286661761,111429157112001,406067677556641,1235736291547681,3282116715437121},20] (* Harvey P. Dale, Aug 25 2012 *)

PARI

vector(20, n, n--; (10*n+7)^8) \\ G. C. Greubel, Nov 10 2018

Formula

a(n) = 9*a(n-1) - 36*a(n-2) + 84*a(n-3) - 126*a(n-4) + 126*a(n-5) - 84*a(n-6) + 36*a(n-7) - 9*a(n-8) + a(n-9); a(0)=5764801, a(1)=6975757441, a(2)=282429536481, a(3)=3512479453921, a(4)=23811286661761, a(5)=111429157112001, a(6)=406067677556641, a(7)=1235736291547681, a(8)=3282116715437121. - Harvey P. Dale, Aug 25 2012