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A047374
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Numbers that are congruent to {4, 5} mod 7.
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1
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4, 5, 11, 12, 18, 19, 25, 26, 32, 33, 39, 40, 46, 47, 53, 54, 60, 61, 67, 68, 74, 75, 81, 82, 88, 89, 95, 96, 102, 103, 109, 110, 116, 117, 123, 124, 130, 131, 137, 138, 144, 145, 151, 152, 158, 159, 165, 166, 172
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OFFSET
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1,1
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LINKS
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FORMULA
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G.f.: x*(4 + x + 2*x^2)/((1 + x)*(x - 1)^2). - R. J. Mathar, Dec 04 2011
E.g.f.: 2 + ((14*x - 3)*exp(x) - 5*exp(-x))/4. - David Lovler, Sep 15 2022
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MATHEMATICA
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Select[Range[200], MemberQ[{4, 5}, Mod[#, 7]] &] (* Amiram Eldar, May 07 2021 *)
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PROG
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(PARI) a(n) = (14*n - 5*(-1)^n - 3)/4 \\ David Lovler, Sep 15 2022
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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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