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A047390
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Numbers that are congruent to {0, 3, 5} mod 7.
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0
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0, 3, 5, 7, 10, 12, 14, 17, 19, 21, 24, 26, 28, 31, 33, 35, 38, 40, 42, 45, 47, 49, 52, 54, 56, 59, 61, 63, 66, 68, 70, 73, 75, 77, 80, 82, 84, 87, 89, 91, 94, 96, 98, 101, 103, 105, 108, 110, 112, 115, 117, 119, 122, 124, 126, 129, 131, 133, 136, 138, 140, 143
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OFFSET
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1,2
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LINKS
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Table of n, a(n) for n=1..62.
Index to sequences with linear recurrences with constant coefficients, signature (1,0,1,-1).
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FORMULA
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a(n) = 2*n+floor(n/3)+(n^2 mod 3), with offset 0..a(0)=0 [From Gary Detlefs, Mar 19 2010]
G.f.: x^2*(3+2*x+2*x^2)/((1-x)^2*(1+x+x^2)). a(n) = (1/3)*(7*n-6-A049347(n-1)) = A047391(n)-A079978(n-1) - Bruno Berselli, Mar 29 2011
a(n) = n + ceiling(4*(n-1)/3) - 1. - Arkadiusz Wesolowski, Sep 18 2012
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MAPLE
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seq(2*n+floor(n/3)+(n^2 mod 3), n = 0..52); [From Gary Detlefs, Mar 19 2010]
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MATHEMATICA
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Select[Range[0, 150], MemberQ[{0, 3, 5}, Mod[#, 7]]&] (* From Harvey P. Dale, Dec 07 2011 *)
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PROG
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(MAGMA) [ n: n in [0..122] | n mod 7 in [0, 3, 5] ]; // Bruno Berselli, Mar 29 2011
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CROSSREFS
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A011655 [From Gary Detlefs, Mar 19 2010]
Sequence in context: A184586 A190511 A033035 * A184653 A206334 A184741
Adjacent sequences: A047387 A047388 A047389 * A047391 A047392 A047393
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane.
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STATUS
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approved
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