

A070388


a(n) = 5^n mod 42.


1



1, 5, 25, 41, 37, 17, 1, 5, 25, 41, 37, 17, 1, 5, 25, 41, 37, 17, 1, 5, 25, 41, 37, 17, 1, 5, 25, 41, 37, 17, 1, 5, 25, 41, 37, 17, 1, 5, 25, 41, 37, 17, 1, 5, 25, 41, 37, 17, 1, 5, 25, 41, 37, 17, 1, 5, 25, 41, 37, 17, 1, 5, 25, 41, 37, 17, 1, 5, 25, 41, 37, 17, 1, 5, 25, 41, 37, 17
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OFFSET

0,2


LINKS



FORMULA

a(n)= 2*a(n1)  2*a(n2) + a(n3).
G.f.: (1+3*x+17*x^2)/((1x)*(x^2x+1)). (End)
a(n) = (1/15)*{61*(n mod 6)+71*[(n+1) mod 6]+31*[(n+2) mod 6]19*[(n+3) mod 6]29*[(n+4) mod 6]+11*[(n+5) mod 6]}, with n>=0.  Paolo P. Lava, Apr 16 2010
a(n) = a(n1)  a(n2) + 21, n>=2.  R. J. Mathar, Nov 07 2015


MATHEMATICA



PROG

(Sage) [power_mod(5, n, 42) for n in range(0, 78)] # Zerinvary Lajos, Nov 26 2009
(PARI) a(n) = lift(Mod(5, 42)^n); \\ Altug Alkan, Mar 16 2016


CROSSREFS



KEYWORD

nonn,easy


AUTHOR



STATUS

approved



