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A246508
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Digital root of numbers congruent to {1,7,11,13,17,19,23,29} modulo 30.
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0
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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, 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, 5, 7, 2, 8, 1, 7, 2, 4, 8, 1, 5, 2, 4, 1, 5, 7, 2, 4, 8, 5, 7, 4
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OFFSET
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1,2
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COMMENTS
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Period 24 repeating sequence, the digital root squares of which produce period 24 palindromic sequence A240924.
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LINKS
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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, 1).
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FORMULA
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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
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CROSSREFS
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Cf. A007775 (numbers not divisible by 2, 3 or 5), A240924 (digital root of this sequence squared).
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KEYWORD
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nonn,base,easy
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AUTHOR
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STATUS
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approved
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