A017561 - OEIS

A017561

a(n) = (12*n + 3)^5.

243, 759375, 14348907, 90224199, 345025251, 992436543, 2373046875, 4984209207, 9509900499, 16850581551, 28153056843, 44840334375, 68641485507, 101621504799, 146211169851, 205236901143, 281950621875, 380059617807, 503756397099, 657748550151, 847288609443, 1078203909375

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OFFSET

0,1

LINKS

Paolo Xausa, Table of n, a(n) for n = 0..10000

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