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A047391
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Numbers that are congruent to {1, 3, 5} mod 7.
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2
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1, 3, 5, 8, 10, 12, 15, 17, 19, 22, 24, 26, 29, 31, 33, 36, 38, 40, 43, 45, 47, 50, 52, 54, 57, 59, 61, 64, 66, 68, 71, 73, 75, 78, 80, 82, 85, 87, 89, 92, 94, 96, 99, 101, 103, 106, 108, 110, 113, 115, 117, 120, 122
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refs;
listen;
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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..53.
Index to sequences with linear recurrences with constant coefficients, signature (1,0,1,-1).
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FORMULA
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Contribution by Bruno Berselli, Mar 25 2011: (Start)
G.f.: x*(1+2*x+2*x^2+2*x^3)/((1-x)^2*(1+x+x^2)).
a(n) = 7*floor((n-1)/3)+2*(n-1 mod 3)+1.
a(n) = (1/3)*(7*n-5-A049347(n)). (End)
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PROG
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(MAGMA) [ n: n in [1..122] | n mod 7 in [1, 3, 5] ]; // Bruno Berselli, Mar 25 2011
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CROSSREFS
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Sequence in context: A184584 A191160 A189929 * A184655 A090846 A195170
Adjacent sequences: A047388 A047389 A047390 * A047392 A047393 A047394
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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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