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A014794
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Squares of even octagonal numbers.
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4
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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
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OFFSET
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0,2
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LINKS
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Table of n, a(n) for n=0..25.
Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).
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FORMULA
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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
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MATHEMATICA
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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 *)
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PROG
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(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
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CROSSREFS
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Cf. A000567, A014641, A014642, A014793.
Sequence in context: A208313 A145218 A282526 * A224282 A224205 A162994
Adjacent sequences: A014791 A014792 A014793 * A014795 A014796 A014797
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KEYWORD
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nonn,easy
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AUTHOR
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Mohammad K. Azarian
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EXTENSIONS
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More terms from Patrick De Geest, Aug 2000
a(8) corrected by Vincenzo Librandi, Jan 07 2012
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STATUS
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approved
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