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A151978
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Numbers that are congruent to {0, 1} mod 17.
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5
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0, 1, 17, 18, 34, 35, 51, 52, 68, 69, 85, 86, 102, 103, 119, 120, 136, 137, 153, 154, 170, 171, 187, 188, 204, 205, 221, 222, 238, 239, 255, 256, 272, 273, 289, 290, 306, 307, 323, 324, 340, 341, 357, 358, 374, 375, 391, 392, 408, 409, 425, 426, 442, 443, 459, 460, 476
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OFFSET
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1,3
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COMMENTS
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Numbers n such that n^2 - n is divisible by 17.
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LINKS
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FORMULA
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G.f.: x^2*(1+16*x)/((1+x)*(1-x)^2).
a(n) = (34*n - 15*(-1)^n - 49)/4.
a(n) = a(n-1) + a(n-2) - a(n-3) = a(n-2) + 17.
a(n) + a(n+1) = a(2n). (End)
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MATHEMATICA
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LinearRecurrence[{1, 1, -1}, {0, 1, 17}, 60] (* or *) With[{c=17Range[0, 30]}, Sort[Join[c, c+1]]] (* Harvey P. Dale, Oct 04 2011 *)
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PROG
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(Magma) [n: n in [0..30] | n mod 17 in [0, 1]]; // Bruno Berselli, Sep 29 2011
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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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EXTENSIONS
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STATUS
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approved
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