This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A182719 #24 Sep 08 2022 08:45:55 %S A182719 4,5,6,9,12,14,17,19,24,26,28,29,33,34,39,40,44,47,49,50,54,59,61,64, %T A182719 68,69,72,74,75,79,82,83,84,89,94,96,99,103,104,105,109,110,114,116, %U A182719 117,119,124,127,129,131,134,138,139,144,145,149,152,154,159,160,164 %N A182719 Numbers of the form 5k + 4, 7k + 5, or 11k + 6. %C A182719 Numbers such that the Ramanujan congruences apply, making p(a(n)) divisible by at least one of 5, 7, or 11, where p is A000041. %C A182719 Union of A016897, A017041 and A017461. %C A182719 First differences are periodic with period length 145. %H A182719 Wikipedia, <a href="http://en.wikipedia.org/wiki/Ramanujan's_congruences">Ramanujan's congruences</a> %H A182719 <a href="/index/Rec#order_146">Index entries for linear recurrences with constant coefficients</a>, order 146. %F A182719 a(n) = a(n-145) + 385 = a(n-1) + a(n-145) - a(n-146). %t A182719 Union[With[{no=30},Join[5Range[0,no]+4,7Range[0,no]+5,11Range[0,no]+6]]] (* _Harvey P. Dale_, Feb 18 2011 *) %o A182719 (Magma) IsA182719:=func< n | exists{ k: k in [0..n div 5] | n in [5*k+4, 7*k+5, 11*k+6] } >; [ n: n in [1..160] | IsA182719(n) ]; // _Klaus Brockhaus_, Feb 08 2011 %Y A182719 Cf. A000041, A016897, A017041, A017461. %K A182719 nonn,easy %O A182719 1,1 %A A182719 _Omar E. Pol_, Feb 08 2011 %E A182719 Rewritten by _Charles R Greathouse IV_ and _Klaus Brockhaus_, Feb 08 2011