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 A084969 Numbers whose smallest prime factor is 11. 12
 11, 121, 143, 187, 209, 253, 319, 341, 407, 451, 473, 517, 583, 649, 671, 737, 781, 803, 869, 913, 979, 1067, 1111, 1133, 1177, 1199, 1243, 1331, 1397, 1441, 1507, 1529, 1573, 1639, 1661, 1727, 1793, 1837, 1859, 1903, 1969, 1991, 2057, 2101, 2123, 2167, 2189, 2299, 2321 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Fifth row of A083140. Integers k such that gcd(11*k, 210) = 1. LINKS Amiram Eldar, Table of n, a(n) for n = 1..10000 Index entries for linear recurrences with constant coefficients, signature (1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1). FORMULA G.f.: 11*x*(x^48 +10*x^47 +2*x^46 +4*x^45 +2*x^44 +4*x^43 +6*x^42 +2*x^41 +6*x^40 +4*x^39 +2*x^38 +4*x^37 +6*x^36 +6*x^35 +2*x^34 +6*x^33 +4*x^32 +2*x^31 +6*x^30 +4*x^29 +6*x^28 +8*x^27 +4*x^26 +2*x^25 +4*x^24 +2*x^23 +4*x^22 +8*x^21 +6*x^20 +4*x^19 +6*x^18 +2*x^17 +4*x^16 +6*x^15 +2*x^14 +6*x^13 +6*x^12 +4*x^11 +2*x^10 +4*x^9 +6*x^8 +2*x^7 +6*x^6 +4*x^5 +2*x^4 +4*x^3 +2*x^2 +10*x +1) / (x^49 -x^48 -x +1). - Colin Barker, Feb 22 2013 a(n) = a(n-48) + 2310 = a(n-1) + a(n-48) - a(n-49). - Charles R Greathouse IV, Nov 19 2014 Lim_{n->infinity} a(n)/n = A038111(5)/A038110(5) = 385/8 = 48.125. - Vladimir Shevelev, Jan 20 2015 a(n) = 11*A008364(n). EXAMPLE a(2) = 11*11, a(3) = 11*13. MATHEMATICA 11Select[ Range[210], GCD[ #, 2*3*5*7] == 1 & ] Select[11*Range[0, 200], GCD[#, 210]==1&] (* Harvey P. Dale, Dec 23 2013 *) PROG (PARI) is(n)=gcd(n, 2310)==11 \\ Charles R Greathouse IV, Nov 19 2014 CROSSREFS Cf. A084967 (5), A084968 (7), A084970 (13), A332799 (17), A332798 (19), A332797 (23), A008364 (11-rough numbers). Cf. A008364, A038110, A038111, A083140. Sequence in context: A089707 A223391 A337707 * A045592 A045595 A228440 Adjacent sequences:  A084966 A084967 A084968 * A084970 A084971 A084972 KEYWORD nonn,easy AUTHOR Robert G. Wilson v, Jun 15 2003 EXTENSIONS a(47)-a(49) from Georg Fischer, Nov 07 2019 New name from Frank Ellermann, Feb 25 2020 STATUS approved

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Last modified June 25 08:27 EDT 2021. Contains 345453 sequences. (Running on oeis4.)