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A246508 Digital root of numbers congruent to {1,7,11,13,17,19,23,29} modulo 30. 0

%I

%S 1,7,2,4,8,1,5,2,4,1,5,7,2,4,8,5,7,4,8,1,5,7,2,8,1,7,2,4,8,1,5,2,4,1,

%T 5,7,2,4,8,5,7,4,8,1,5,7,2,8,1,7,2,4,8,1,5,2,4,1,5,7,2,4,8,5,7,4,8,1,

%U 5,7,2,8,1,7,2,4,8,1,5,2,4,1,5,7,2,4,8,5,7,4

%N Digital root of numbers congruent to {1,7,11,13,17,19,23,29} modulo 30.

%C Period 24 repeating sequence, the digital root squares of which produce period 24 palindromic sequence A240924.

%H <a href="/index/Rec#order_24">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

%F a(n) = A010888(A007775(n)). - _Michel Marcus_, Nov 25 2014

%F G.f.: ( -x*(1 +7*x +2*x^2 +4*x^3 +8*x^4 +x^5 +5*x^6 +2*x^7 +4*x^8 +x^9 +5*x^10 +7*x^11 +2*x^12 +4*x^13 +8*x^14 +5*x^15 +7*x^16 +4*x^17 +8*x^18 +x^19 +5*x^20 +7*x^21 +2*x^22 +8*x^23) ) / ( (x-1) *(1+x+x^2) *(1+x) *(1-x+x^2) *(1+x^2) *(x^4-x^2+1) *(1+x^4) *(x^8-x^4+1) ). - _R. J. Mathar_, Sep 22 2016

%Y Cf. A007775 (numbers not divisible by 2, 3 or 5), A240924 (digital root of this sequence squared).

%K nonn,base,easy

%O 1,2

%A _Gary Croft_, Nov 14 2014

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Last modified June 27 11:25 EDT 2017. Contains 288788 sequences.