

A123122


Numbers of the form 5i + 7j for some nonnegative integers i and j.


0



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
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OFFSET

1,2


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 = (51)*(71).  Zak Seidov, Oct 21 2011


LINKS

Table of n, a(n) for n=1..70.
Index entries for linear recurrences with constant coefficients, signature (2,1).


FORMULA

a(n) = n + 11 for n > 12.  Charles R Greathouse IV, Oct 26 2011


EXAMPLE

a(7) = 17 because 5*2 + 7*1 = 17.


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);


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, (815i)/7}] (* Zak Seidov, Oct 22 2011 *)


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


CROSSREFS

Cf. A102701.
Sequence in context: A075275 A245270 A319267 * A256680 A293867 A129189
Adjacent sequences: A123119 A123120 A123121 * A123123 A123124 A123125


KEYWORD

nonn,easy


AUTHOR

Ben Paul Thurston, Sep 29 2006


EXTENSIONS

Corrected and extended by Robert G. Wilson v, Sep 30 2006


STATUS

approved



