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A047355
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Numbers that are congruent to {0, 3} mod 7.
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5
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0, 3, 7, 10, 14, 17, 21, 24, 28, 31, 35, 38, 42, 45, 49, 52, 56, 59, 63, 66, 70, 73, 77, 80, 84, 87, 91, 94, 98, 101, 105, 108, 112, 115, 119, 122, 126, 129, 133, 136, 140, 143, 147, 150, 154, 157, 161, 164, 168, 171, 175, 178, 182, 185, 189, 192, 196, 199, 203
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (1,1,-1).
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FORMULA
| a(n) = a(n-2)+7 = a(n-1)+a(n-2)-a(n-3). - Henry Bottomley, Jan 19 2001
a(n) = 7*n-a(n-1)-11 (with a(1)=0). - Vincenzo Librandi, Aug 05 2010
G.f.: (3+4*x)*x^2/((1+x)*(1-x)^2). a(n) = (14*n-(-1)^n-15)/4. - Bruno Berselli, Sep 12 2011
a(n+1)=Sum_k>=0 {A030308(n,k)*A125176(k+2)}. - From DELEHAM Philippe, Oct 17 2011.
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CROSSREFS
| Cf. A030123.
Sequence in context: A198267 A027704 A198268 * A098005 A189999 A171983
Adjacent sequences: A047352 A047353 A047354 * A047356 A047357 A047358
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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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