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 A301623 Numbers not divisible by 2, 3 or 5 (A007775) with digital root 5. 1
 23, 41, 59, 77, 113, 131, 149, 167, 203, 221, 239, 257, 293, 311, 329, 347, 383, 401, 419, 437, 473, 491, 509, 527, 563, 581, 599, 617, 653, 671, 689, 707, 743, 761, 779, 797, 833, 851, 869, 887, 923, 941, 959, 977, 1013, 1031, 1049, 1067, 1103, 1121 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Numbers == {23, 41, 59, 77} mod 90 with additive sum sequence 23{+18+18+18+36} {repeat ...}. Includes all primes number > 5 with digital root 5. LINKS Colin Barker, Table of n, a(n) for n = 1..1000 Index entries for linear recurrences with constant coefficients, signature (1,0,0,1,-1). FORMULA Numbers == {23, 41, 59, 77} mod 90. From Colin Barker, Mar 25 2018: (Start) G.f.: x*(23 + 18*x + 18*x^2 + 18*x^3 + 13*x^4) / ((1 - x)^2*(1 + x)*(1 + x^2)). a(n) = a(n-1) + a(n-4) - a(n-5) for n>5. (End) EXAMPLE 23+18=41; 41+18=59; 59+18=77; 77+36=113; 113+18=131. MATHEMATICA LinearRecurrence[{1, 0, 0, 1, -1}, {23, 41, 59, 77, 113}, 50] (* Harvey P. Dale, Jul 28 2018 *) PROG (PARI) Vec(x*(23 + 18*x + 18*x^2 + 18*x^3 + 13*x^4) / ((1 - x)^2*(1 + x)*(1 + x^2)) + O(x^60)) \\ Colin Barker, Mar 25 2018 (GAP) Filtered(Filtered([1..1200], n->n mod 2 <> 0 and n mod 3 <> 0 and n mod 5 <> 0), i->i-9*Int((i-1)/9)=5); # Muniru A Asiru, Apr 22 2018 CROSSREFS Intersection of A007775 and A017221. Sequence in context: A050668 A199219 A115699 * A163635 A083444 A153037 Adjacent sequences:  A301620 A301621 A301622 * A301624 A301625 A301626 KEYWORD nonn,base,easy AUTHOR Gary Croft, Mar 24 2018 STATUS approved

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Last modified December 10 20:38 EST 2019. Contains 329909 sequences. (Running on oeis4.)