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A084969 Multiples of 11 whose GCD's with 210 is 1. 4
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Fifth row of A083140.

LINKS

Table of n, a(n) for n=1..46.

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

GCD( 11k, 210) = 1.

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 a(n)/n = A038111(5)/A038110(5) = 48.125 as n goes to infinity. - Vladimir Shevelev, Jan 20 2015

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. A083140.

Equals 11 * A008364.

Sequence in context: A004190 A089707 A223391 * A045592 A045595 A228440

Adjacent sequences:  A084966 A084967 A084968 * A084970 A084971 A084972

KEYWORD

nonn,easy

AUTHOR

Robert G. Wilson v, Jun 15 2003

STATUS

approved

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Last modified June 25 19:53 EDT 2017. Contains 288729 sequences.