A017623 a(n) = (12*n + 8)^7.

2097152, 1280000000, 34359738368, 319277809664, 1727094849536, 6722988818432, 20971520000000, 55784660123648, 131593177923584, 282621973446656, 562949953421312, 1054135040000000, 1874584905187328

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 (8,-28,56,-70,56,-28,8,-1).

Crossrefs

Cf. A016795.

Programs

Magma

[(12*n+8)^7: n in [0..20]]; // Vincenzo Librandi, Aug 17 2011

Mathematica

(12*Range[0,15]+8)^7 (* Harvey P. Dale, Aug 16 2011 *)

PARI

vector(20, n, n--; (12*n+8)^7) \\ G. C. Greubel, Nov 08 2018

Formula

a(n) = 16384 * A016795(n). - R. J. Mathar, May 11 2008

G.f.: 16384*(x^7 + 16376*x^6 + 692499*x^5 + 3870352*x^4 + 4890287*x^3 + 1475736*x^2 + 77101*x + 128)/(x-1)^8. - Colin Barker, Aug 17 2012

E.g.f.: 16384*(128 +77997*x +970515*x^2 +2238327*x^3 +1655640*x^4 +479682*x^5 +56133*x^6 +2187*x^7)*exp(x). - G. C. Greubel, Nov 08 2018