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A123122
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Numbers of the form 5i + 7j for some nonnegative integers i and j.
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0
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0, 5, 7, 10, 12, 14, 15, 17, 19, 20, 21, 22, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| The only numbers not of this form belong to the finite set {1, 2, 3, 4, 6, 8, 9, 11, 13, 16, 18, 23}. - Robert G. Wilson v
Starting with 24 all integers are here because 24 = (5-1)*(7-1). - Moshe Levin, Oct 21 2011
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (2,-1).
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FORMULA
| a(n) = n + 11 for n > 12. [Charles R Greathouse IV, Oct 26 2011]
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EXAMPLE
| a(7) = 17 because 5*2 + 7*1 = 17.
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MAPLE
| k:=array(0..47); n:=0; for i from 0 to 7 do for j from 0 to 5 do k[n] := 5*i + 7*j; n:=n+1; end do; end do; for i from 0 to 47 do for j from 0 to 47 do if(k[i] < k[j]) then temp:=k[j]; k[j]:=k[i]; k[i]:=temp; end if; end do; end do; print(k);
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MATHEMATICA
| Take[Union@ Flatten@ Table[5i + 7j, {i, 0, 35}, {j, 0, 25}], 70] (* Robert G. Wilson v *)
Union@ Flatten@ Table[5i + 7j, {i, 0, 81/5}, {j, 0, (81-5i)/7}] (* Moshe Levin, Oct 22 2011 *)
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PROG
| (PARI) a(n)=if(n>12, n+11, [0, 5, 7, 10, 12, 14, 15, 17, 19, 20, 21, 22][n]) \\ Charles R Greathouse IV, Oct 26 2011
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CROSSREFS
| Cf. A102701.
Sequence in context: A189290 A129415 A075275 * A129189 A066513 A028810
Adjacent sequences: A123119 A123120 A123121 * A123123 A123124 A123125
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KEYWORD
| nonn,easy
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AUTHOR
| Ben Thurston (benthurston27(AT)yahoo.com), Sep 29 2006
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EXTENSIONS
| Corrected and extended by Robert G. Wilson v Sep 30 2006
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