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A047351
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Numbers that are congruent to {0, 1, 2, 4} mod 7.
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0
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0, 1, 2, 4, 7, 8, 9, 11, 14, 15, 16, 18, 21, 22, 23, 25, 28, 29, 30, 32, 35, 36, 37, 39, 42, 43, 44, 46, 49, 50, 51, 53, 56, 57, 58, 60, 63, 64, 65, 67, 70, 71, 72, 74, 77, 78, 79, 81, 84, 85, 86, 88, 91, 92, 93, 95, 98
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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COMMENTS
| a(n) is the set of values for m such that 7i+m is a perfect square.(The quadratic residues of 7 including the trivial case of k*7) [From Gary Detlefs (gdetlefs(AT)aol.com), Mar 07 2010]
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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
| if n mod 4 = 0 then a(n) = floor(7n-3)/4)+1, else a(n) = floor(7n-3)/4) [From Gary Detlefs (gdetlefs(AT)aol.com), Mar 07 2010]
G.f. x^2*(1+x+2*x^2+3*x^3) / ( (1+x)*(1+x^2)*(x-1)^2 ). - R. J. Mathar, Dec 04 2011
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MAPLE
| for i from 1 to 56 do if(i mod 4=0) then print(floor(7*i-3)/4)+1) else print(floor(7*i-3)/4)) fi od; [From Gary Detlefs (gdetlefs(AT)aol.com), Mar 07 2010]
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CROSSREFS
| Sequence in context: A010377 A194465 A035261 * A035248 A028951 A190244
Adjacent sequences: A047348 A047349 A047350 * A047352 A047353 A047354
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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