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A156194 Period 12: 1,2,7,1,7,2,1,1,4,2,4,1 repeated. 2

%I #21 Mar 15 2024 02:23:10

%S 1,2,7,1,7,2,1,1,4,2,4,1,1,2,7,1,7,2,1,1,4,2,4,1,1,2,7,1,7,2,1,1,4,2,

%T 4,1,1,2,7,1,7,2,1,1,4,2,4,1,1,2,7,1,7,2,1,1,4,2,4,1,1,2,7,1,7,2,1,1,

%U 4,2,4,1,1,2,7,1,7,2,1,1,4,2,4,1

%N Period 12: 1,2,7,1,7,2,1,1,4,2,4,1 repeated.

%C Also the decimal expansion of 42390704747/333333333333. - _R. J. Mathar_, Feb 23 2009

%H <a href="/index/Rec#order_12">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,0,0,0,0,1).

%F Palindromic properties: a(12k+i) = a(12k+6-i), i=0..3. a(12k+7+i) = a(12k+11-i), i=0..2, and similarly for successive differences.

%F a(n) = A156095(n) mod 9.

%F a(n) = A156094(n+6) mod 9.

%F a(4n) + a(4n+1) + a(4n+2) + a(4n+3) = A010850(n).

%F G.f.: (1+2*x+7*x^2+x^3+7*x^4+2*x^5+x^6+x^7+4*x^8+2*x^9+4*x^10+x^11)/((1-x)*(1+x+x^2)*(1+x)*(1-x+x^2)*(1+x^2)*(x^4-x^2+1)). - _R. J. Mathar_, Feb 23 2009

%t PadRight[{},144,{1,2,7,1,7,2,1,1,4,2,4,1}] (* _Harvey P. Dale_, Mar 06 2012 *)

%K nonn,easy,less

%O 0,2

%A _Paul Curtz_, Feb 05 2009

%E Edited by _R. J. Mathar_, Feb 23 2009

%E More terms from _Jinyuan Wang_, Feb 26 2020

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Last modified July 31 22:12 EDT 2024. Contains 374809 sequences. (Running on oeis4.)