A017323 a(n) = (10*n + 4)^7.

16384, 105413504, 4586471424, 52523350144, 319277809664, 1338925209984, 4398046511104, 12151280273024, 29509034655744, 64847759419264, 131593177923584, 250226879128704, 450766669594624, 775771085481344

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. A001015, A017317.

Programs

Magma

[(10*n+4)^7: n in [0..20] ]; // Vincenzo Librandi, Aug 01 2011

Maple

A017323:=n->(10*n+4)^7: seq(A017323(n), n=0..30); # Wesley Ivan Hurt, Jan 28 2017

Mathematica

(10*Range[0,20]+4)^7 (* or *) LinearRecurrence[{8,-28,56,-70,56,-28,8,-1},{16384,105413504,4586471424,52523350144,319277809664,1338925209984,4398046511104,12151280273024},20] (* Harvey P. Dale, Aug 26 2015 *)

PARI

a(n)=(10*n+4)^7 \\ Charles R Greathouse IV, Jan 29 2017

Formula

a(n) = 8*a(n-1) - 28*a(n-2) + 56*a(n-3) - 70*a(n-4) + 56*a(n-5) - 28*a(n-6) + 8*a(n-7) - a(n-8); a(0)=16384, a(1)=105413504, a(2)=4586471424, a(3)=52523350144, a(4)=319277809664, a(5)=1338925209984, a(6)=4398046511104, a(7)=12151280273024. - Harvey P. Dale, Aug 26 2015