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A008512 Number of points on surface of 5-dimensional cube. 2
2, 32, 242, 992, 2882, 6752, 13682, 24992, 42242, 67232, 102002, 148832, 210242, 288992, 388082, 510752, 660482, 840992, 1056242, 1310432, 1608002, 1953632, 2352242, 2808992, 3329282, 3918752 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

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(n) = (n+1)^5-(n-1)^5.

G.f.: (2+22*x+102*x^2+82*x^3+32*x^4)/(1-5*x+10*x^2-10*x^3+5*x^4-x^5). Colin Barker, Jan 02 2012

MAPLE

(n+1)^5-(n-1)^5;

MATHEMATICA

Table[10n^2*(n^2+2)+2, {n, 0, 30}] (* or *) LinearRecurrence[{5, -10, 10, -5, 1}, {2, 32, 242, 992, 2882}, 30] (* Harvey P. Dale, Jul 17 2014 *)

PROG

(MAGMA) [(n+1)^5-(n-1)^5: n in [0..30]]; // Vincenzo Librandi, Aug 27 2011

CROSSREFS

Sequence in context: A053053 A053054 A224903 * A179074 A035602 A158040

Adjacent sequences:  A008509 A008510 A008511 * A008513 A008514 A008515

KEYWORD

nonn,easy,changed

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified June 28 14:30 EDT 2017. Contains 288838 sequences.