A017648 (12n+10)^8.

100000000, 54875873536, 1785793904896, 20047612231936, 128063081718016, 576480100000000, 2044140858654976, 6095689385410816, 15938480745308416, 37588592026706176, 81573072100000000, 165312903998914816

Offset

0,1

Links

Table of n, a(n) for n=0..11.

Index entries for linear recurrences with constant coefficients, signature (9, -36, 84, -126, 126, -84, 36, -9, 1).

Formula

a(0)=100000000, a(1)=54875873536, a(2)=1785793904896, a(3)=20047612231936, a(4)=128063081718016, a(5)=576480100000000, a(6)=2044140858654976, a(7)=6095689385410816, a(8)=15938480745308416, 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). - Harvey P. Dale, Jul 28 2015

Mathematica

(12*Range[0, 20]+10)^8 (* or *) LinearRecurrence[{9, -36, 84, -126, 126, -84, 36, -9, 1}, {100000000, 54875873536, 1785793904896, 20047612231936, 128063081718016, 576480100000000, 2044140858654976, 6095689385410816, 15938480745308416}, 20] (* Harvey P. Dale, Jul 28 2015 *)

Crossrefs

Sequence in context: A017180 A017276 A017516 * A158214 A052096 A348810

Adjacent sequences: A017645 A017646 A017647 * A017649 A017650 A017651

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved