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A020519
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11th cyclotomic polynomial evaluated at powers of 2.
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1
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11, 2047, 1398101, 1227133513, 1172812402961, 1162219258676257, 1171221845949812801, 1189887617730934227073, 1213666705181745367548161, 1240362622532514091484054017, 1268889750375080065623288448001, 1298708349570020393652962442872833
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OFFSET
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0,1
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LINKS
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FORMULA
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G.f.: -(72022409665839104*x^10 -95936100375199744*x^9 +41035167933923328*x^8 -7266644321632256*x^7 +581441424424960*x^6 -21804053415936*x^5 +388080675136*x^4 -3261182144*x^3 +12564486*x^2 -20470*x +11) / ((x -1)*(2*x -1)*(4*x -1)*(8*x -1)*(16*x -1)*(32*x -1)*(64*x -1)*(128*x -1)*(256*x -1)*(512*x -1)*(1024*x -1)). - Colin Barker, Feb 14 2015
a(n) = 1+2^n+4^n+8^n+16^n+32^n+64^n+128^n+256^n+512^n+1024^n. - Colin Barker, Feb 15 2015
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MAPLE
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with(numtheory, cyclotomic):seq(cyclotomic(11, 2^i), i=0..24);
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MATHEMATICA
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Table[Total[x^Range[0, 10]], {x, 2^Range[0, 10]}] (* Harvey P. Dale, Mar 05 2014 *)
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PROG
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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