A016774 a(n) = (3*n)^10.

0, 59049, 60466176, 3486784401, 61917364224, 576650390625, 3570467226624, 16679880978201, 63403380965376, 205891132094649, 590490000000000, 1531578985264449, 3656158440062976, 8140406085191601, 17080198121677824

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (11, -55, 165, -330, 462, -462, 330, -165, 55, -11, 1).

Crossrefs

Cf. A008454 (n^10).

Programs

Magma

[(3*n)^10: n in [0..20]]; // Vincenzo Librandi, May 09 2011

Mathematica

(3*Range[0,30])^10 (* or *) LinearRecurrence[{11,-55,165,-330,462,-462,330,-165,55,-11,1},{0,59049,60466176,3486784401,61917364224,576650390625,3570467226624,16679880978201,63403380965376,205891132094649,590490000000000},30](* Harvey P. Dale, Mar 04 2013 *)

Formula

a(n) = 11*a(n-1) - 55*a(n-2) + 165*a(n-3) - 330*a(n-4) + 462*a(n-5) - 462*a(n-6) + 330*a(n-7) - 165*a(n-8) + 55*a(n-9) - 11*a(n-10) + a(n-11); a(0)=0, a(1)=59049, a(2)=60466176, a(3)=3486784401, a(4)=61917364224, a(5)=576650390625, a(6)=3570467226624, a(7)=16679880978201, a(8)=63403380965376, a(9)=205891132094649, a(10)=590490000000000. - Harvey P. Dale, Mar 04 2013