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A014794 Squares of even octagonal numbers. 4
0, 64, 1600, 9216, 30976, 78400, 166464, 313600, 541696, 876096, 1345600, 1982464, 2822400, 3904576, 5271616, 6969600, 9048064, 11560000, 14561856, 18113536, 22278400, 27123264, 32718400, 39137536, 46457856, 54760000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..25.

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

FORMULA

G.f.: 64*x*(1+20*x+29*x^2+4*x^3)/(1-x)^5. - Colin Barker, Jan 06 2012

a(n) = 16n^2*(3n-1)^2. - Vincenzo Librandi, Jan 07 2012

MATHEMATICA

Table[16*n^2*(3*n-1)^2, {n, 0, 30}] (* Vincenzo Librandi, Jan 07 2012 *)

LinearRecurrence[{5, -10, 10, -5, 1}, {0, 64, 1600, 9216, 30976}, 30] (* Harvey P. Dale, Nov 27 2015 *)

PROG

(MAGMA) [16*n^2*(3*n-1)^2: n in [1..50]]; // Vincenzo Librandi, Jan 07 2012

(PARI) a(n) = 16*n^2*(3*n-1)^2 \\ Vincenzo Librandi, Jan 07 2012

CROSSREFS

Cf. A000567, A014641, A014642, A014793.

Sequence in context: A208313 A145218 A282526 * A224282 A224205 A162994

Adjacent sequences:  A014791 A014792 A014793 * A014795 A014796 A014797

KEYWORD

nonn,easy

AUTHOR

Mohammad K. Azarian

EXTENSIONS

More terms from Patrick De Geest, Aug 2000

a(8) corrected by Vincenzo Librandi, Jan 07 2012

STATUS

approved

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Last modified April 22 07:26 EDT 2021. Contains 343163 sequences. (Running on oeis4.)