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a(3*n)=A001045(n+1), a(3*n+1)=A084214(n), a(3*n+2)=A000079(n) for n >= 0.
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%I #22 Aug 28 2024 11:26:58

%S 1,1,1,1,1,2,3,4,4,5,6,8,11,14,16,21,26,32,43,54,64,85,106,128,171,

%T 214,256,341,426,512,683,854,1024,1365,1706,2048,2731,3414,4096,5461,

%U 6826,8192,10923,13654,16384,21845,27306,32768,43691,54614,65536

%N a(3*n)=A001045(n+1), a(3*n+1)=A084214(n), a(3*n+2)=A000079(n) for n >= 0.

%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,1,0,0,2).

%F G.f. 1 + x - x^2*(1+x+x^2+x^3+2*x^4+3*x^5) / ( (1+x)*(2*x^3-1)*(x^2-x+1) ).

%Y Cf. A000079, A001045, A084214.

%K nonn,easy

%O 0,6

%A _Paul Curtz_, Aug 18 2024