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A084065
Fourth row of number array A084061.
5
1, 1, 7, 54, 553, 7100, 109863, 1991752, 41426257, 972602640, 25447064743, 734276705888, 23166635069241, 793426715543488, 29316839407495111, 1162492244159875200, 49240280161094287777, 2218952409252783579392
OFFSET
0,3
LINKS
FORMULA
a(n) = ( (n - sqrt(3))^n + (n + sqrt(3))^n )/2.
MAPLE
seq( round(((n-sqrt(3))^n + (n+sqrt(3))^n)/2), n=0..20); # G. C. Greubel, Jan 11 2020
MATHEMATICA
Table[Round[((n+Sqrt[3])^n + (n-Sqrt[3])^n)/2], {n, 0, 20}] (* G. C. Greubel, Jan 11 2020 *)
PROG
(PARI) vector(21, n, round(((n-1-sqrt(3))^(n-1) + (n-1+sqrt(3))^(n-1))/2) ) \\ G. C. Greubel, Jan 11 2020
(Magma) [Round(((n-Sqrt(3))^n + (n+Sqrt(3))^n)/2): n in [0..20]]; // G. C. Greubel, Jan 11 2020
(Sage) [round(((n-sqrt(3))^n + (n+sqrt(3))^n)/2) for n in (0..20)] # G. C. Greubel, Jan 11 2020
(GAP) List([0..20], n-> ((n-Sqrt(3))^n + (n+Sqrt(3))^n)/2); # G. C. Greubel, Jan 11 2020
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Paul Barry, May 11 2003
STATUS
approved