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Search: id:A092476
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| A092476 |
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Congruent to {1, 3, 9} mod 13. |
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+0
1
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| 1, 3, 9, 14, 16, 22, 27, 29, 35, 40, 42, 48, 53, 55, 61, 66, 68, 74, 79, 81, 87, 92, 94, 100, 105, 107, 113, 118, 120, 126, 131, 133, 139, 144, 146, 152, 157, 159, 165, 170, 172, 178, 183, 185, 191, 196, 198, 204, 209, 211, 217, 222, 224, 230, 235, 237, 243, 248
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Also, natural numbers whose cubes are congruent to 1 (mod 13).
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FORMULA
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a(n)=a(n-3)+13 = a(n-1)+a(n-3)-a(n-4). G.f.: x*(1+2*x+6*x^2+4*x^3)/((1+x+x^2)*(x-1)^2). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 20 2009]
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PROGRAM
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(PARI) for (i=1, 500, if(Mod(i^3, 13)==1, print1(i, ", ")))
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CROSSREFS
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Sequence in context: A134190 A047905 A134904 this_sequence A071346 A103813 A001968
Adjacent sequences: A092473 A092474 A092475 this_sequence A092477 A092478 A092479
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KEYWORD
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nonn
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AUTHOR
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Jun Mizuki (suzuki32(AT)sanken.osaka-u.ac.jp), Mar 25 2004
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EXTENSIONS
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More terms from Mohammed Bouayoun (bouyao(AT)wanadoo.fr) and Ray Chandler (rayjchandler(AT)sbcglobal.net), Mar 26 2004
Better definition from Ralf Stephan, Dec 02, 2004
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