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A016780 a(n) = (3*n+1)^4. 4
1, 256, 2401, 10000, 28561, 65536, 130321, 234256, 390625, 614656, 923521, 1336336, 1874161, 2560000, 3418801, 4477456, 5764801, 7311616, 9150625, 11316496, 13845841, 16777216, 20151121, 24010000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

Index entries for linear recurrences with constant coefficients, signature (5, -10, 10, -5, 1).

FORMULA

a(0)=1, a(1)=256, a(2)=2401, a(3)=10000, a(4)=28561, a(n)=5*a(n-1)- 10*a(n-2)+ 10*a(n-3)-5*a(n-4)+a(n-5). - Harvey P. Dale, Oct 21 2015

G.f.: -((1+251*x+1131*x^2+545*x^3+16*x^4)/(-1+x)^5). - Harvey P. Dale, Oct 21 2015

a(n) = A000583(A016777(n)). - Michel Marcus, Nov 06 2015

E.g.f.: exp(x)*(1+255*x+945*x^2+594*x^3+81*x^4). - Wolfdieter Lang, Apr 02 2017

MATHEMATICA

(3*Range[0, 30]+1)^4 (* or *) LinearRecurrence[{5, -10, 10, -5, 1}, {1, 256, 2401, 10000, 28561}, 30] (* Harvey P. Dale, Oct 21 2015 *)

PROG

(MAGMA) [(3*n+1)^4: n in [0..30]]; // Vincenzo Librandi, Sep 21 2011

CROSSREFS

Cf. A000583 (n^4), A016777 (3n+1), A016778, A016779, A016781.

Sequence in context: A236087 A204303 A236083 * A236041 A236037 A251120

Adjacent sequences:  A016777 A016778 A016779 * A016781 A016782 A016783

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified April 25 13:31 EDT 2019. Contains 322461 sequences. (Running on oeis4.)