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A127931
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Numbers k such that 13 divides 11*k + 2^k.
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3
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1, 2, 6, 9, 23, 29, 70, 72, 103, 112, 128, 147, 157, 158, 162, 165, 179, 185, 226, 228, 259, 268, 284, 303, 313, 314, 318, 321, 335, 341, 382, 384, 415, 424, 440, 459, 469, 470, 474, 477, 491, 497, 538, 540, 571, 580, 596, 615, 625, 626, 630, 633, 647, 653
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OFFSET
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1,2
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COMMENTS
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Sequence is infinite: starting with the 13th term, a(13)=157, a(i)=a(i-12)+156. In general, for p and p-2 both prime, starting with p-th term, a(i-(p-1))+p(p-1). This particular sequence corresponds to the case p=13.
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,0,0,0,0,0,0,0,1,-1).
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FORMULA
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MATHEMATICA
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Select[Range[700], Divisible[11#+2^#, 13]&] (* or *) LinearRecurrence[ {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1}, {1, 2, 6, 9, 23, 29, 70, 72, 103, 112, 128, 147, 157}, 60] (* Harvey P. Dale, Sep 03 2016 *)
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PROG
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(PARI) isok(n) = ((11*n + 2^n) % 13) == 0; \\ Michel Marcus, Oct 11 2013
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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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