A017361 a(n) = (10*n + 7)^9.

40353607, 118587876497, 7625597484987, 129961739795077, 1119130473102767, 6351461955384057, 27206534396294947, 95151694449171437, 285544154243029527, 760231058654565217, 1838459212420154507, 4108400332687853397

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 (10, -45, 120, -210, 252, -210, 120, -45, 10, -1).

Crossrefs

Cf. A017353 (10n+7), A001017 (n^9).

Programs

Magma

[(10*n+7)^9: n in [0..20]]; // Vincenzo Librandi, Aug 30 2011

Mathematica

(10*Range[0,30]+7)^9 (* or *) LinearRecurrence[{10,-45,120,-210,252,-210,120,-45,10,-1},{40353607,118587876497,7625597484987,129961739795077,1119130473102767,6351461955384057,27206534396294947,95151694449171437,285544154243029527,760231058654565217},30] (* Harvey P. Dale, Dec 28 2011 *)

PARI

vector(20, n, n--; (10*n+7)^9) \\ G. C. Greubel, Nov 10 2018

Formula

a(n) = 10*a(n-1) - 45*a(n-2) + 120*a(n-3) - 210*a(n-4) + 252*a(n-5) - 210*a(n-6) + 120*a(n-7) - 45*a(n-8) + 10*a(n-9) - a(n-10); a(0)=40353607, a(1)=118587876497, a(2)=7625597484987, a(3)=129961739795077, a(4)=1119130473102767, a(5)=6351461955384057, a(6)=27206534396294947, a(7)=95151694449171437, a(8)=285544154243029527, a(9)=760231058654565217. - Harvey P. Dale, Dec 28 2011