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 A159852 n^2 mod 60. 9
 0, 1, 4, 9, 16, 25, 36, 49, 4, 21, 40, 1, 24, 49, 16, 45, 16, 49, 24, 1, 40, 21, 4, 49, 36, 25, 16, 9, 4, 1, 0, 1, 4, 9, 16, 25, 36, 49, 4, 21, 40, 1, 24, 49, 16, 45, 16, 49, 24, 1, 40, 21, 4, 49, 36, 25, 16, 9, 4, 1, 0, 1, 4, 9, 16, 25, 36, 49, 4, 21, 40, 1, 24, 49, 16, 45, 16, 49, 24, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Periodic with period 30: a(n+30) = a(n); a(15*n+k) = a(15*n-k) for k<=15*n; a(m*n) = a(m)*a(n) mod 60; A010421 gives the range of this sequence. LINKS Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1). MATHEMATICA LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 4, 9, 16, 25, 36, 49, 4, 21, 40, 1, 24, 49, 16, 45, 16, 49, 24, 1, 40, 21, 4, 49, 36, 25, 16, 9, 4, 1}, 80] (* Ray Chandler, Aug 26 2015 *) PowerMod[Range[0, 80], 2, 60] (* or *) PadRight[{}, 80, {0, 1, 4, 9, 16, 25, 36, 49, 4, 21, 40, 1, 24, 49, 16, 45, 16, 49, 24, 1, 40, 21, 4, 49, 36, 25, 16, 9, 4, 1}] (* Harvey P. Dale, Jun 19 2018 *) PROG (PARI) a(n)=n^2%60 \\ Charles R Greathouse IV, May 09 2013 CROSSREFS Cf. A070431, A008959, A070435, A070438, A070442, A070452, A000290. Sequence in context: A335640 A302053 A162496 * A343066 A028907 A292677 Adjacent sequences:  A159849 A159850 A159851 * A159853 A159854 A159855 KEYWORD nonn,easy AUTHOR Reinhard Zumkeller, Apr 24 2009 STATUS approved

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Last modified September 17 09:42 EDT 2021. Contains 347478 sequences. (Running on oeis4.)