A017561 (12n+3)^5.

243, 759375, 14348907, 90224199, 345025251, 992436543, 2373046875, 4984209207, 9509900499, 16850581551, 28153056843, 44840334375, 68641485507, 101621504799, 146211169851, 205236901143, 281950621875

Offset

0,1

Links

Table of n, a(n) for n=0..16.

Index entries for linear recurrences with constant coefficients, signature (6, -15, 20, -15, 6, -1).

Formula

a(0)=243, a(1)=759375, a(2)=14348907, a(3)=90224199, a(4)=345025251, a(5)=992436543, a(n)=6*a(n-1)-15*a(n-2)+20*a(n-3)-15*a(n-4)+ 6*a(n-5)- a(n-6). - Harvey P. Dale, Aug 18 2012

Mathematica

(12*Range[0, 20]+3)^5 (* or *) LinearRecurrence[{6, -15, 20, -15, 6, -1}, {243, 759375, 14348907, 90224199, 345025251, 992436543}, 30] (* Harvey P. Dale, Aug 18 2012 *)

Crossrefs

Sequence in context: A017201 A017309 A017429 * A164657 A151638 A352033

Adjacent sequences: A017558 A017559 A017560 * A017562 A017563 A017564

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved