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A047344
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Numbers that are congruent to {0, 1, 3, 4} mod 7.
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0
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0, 1, 3, 4, 7, 8, 10, 11, 14, 15, 17, 18, 21, 22, 24, 25, 28, 29, 31, 32, 35, 36, 38, 39, 42, 43, 45, 46, 49, 50, 52, 53, 56, 57, 59, 60, 63, 64, 66, 67, 70, 71, 73, 74, 77, 78, 80, 81, 84, 85, 87, 88, 91, 92, 94, 95
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (1,0,0,1,-1).
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FORMULA
| a(n+1)=Sum_k>=0 {A030308(n,k)*b(k)} with b(0)=1, b(1)=3 and b(k)=7*2^(k-2) for k>1. - From DELEHAM Philippe, Oct 17 2011.
G.f. x^2*(1+2*x+x^2+3*x^3) / ( (1+x)*(x^2+1)*(x-1)^2 ). - R. J. Mathar, Dec 04 2011
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PROG
| (PARI) forstep(n=0, 200, [1, 2, 1, 3], print1(n", ")) \\ Charles R Greathouse IV, Oct 17 2011
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CROSSREFS
| Sequence in context: A129142 A075752 A046541 * A005187 A184835 A184823
Adjacent sequences: A047341 A047342 A047343 * A047345 A047346 A047347
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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