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 A301621 Numbers not divisible by 2, 3 or 5 (A007775) with digital root 2. 0
 11, 29, 47, 83, 101, 119, 137, 173, 191, 209, 227, 263, 281, 299, 317, 353, 371, 389, 407, 443, 461, 479, 497, 533, 551, 569, 587, 623, 641, 659, 677, 713, 731, 749, 767, 803, 821, 839, 857, 893, 911, 929, 947, 983, 1001, 1019, 1037, 1073, 1091, 1109 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Numbers congruent to 11, 29, 47, or 83 mod 90 with additive sum sequence 11 { + 18 + 18 + 36 + 18} {repeat ...}. Includes all prime numbers greater than 5 with digital root 2. LINKS FORMULA n == {11, 29, 47, 83} mod 90. From Colin Barker, Mar 26 2018: (Start) G.f.: x*(11 + 18*x + 18*x^2 + 36*x^3 + 7*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 11+18=29; 29+18=47; 47+36=83; 83+18=101; 101+18=119. MATHEMATICA Flatten[Table[90n - {79, 61, 43, 7}, {n, 30}]] (* Alonso del Arte, Mar 29 2018 *) PROG (PARI) Vec(x*(11 + 18*x + 18*x^2 + 36*x^3 + 7*x^4) / ((1 - x)^2*(1 + x)*(1 + x^2)) + O(x^60)) \\ Colin Barker, Mar 26 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)=2); # Muniru A Asiru, Apr 22 2018 CROSSREFS Intersection of A007775 and A017185. Sequence in context: A249436 A167521 A031338 * A049229 A282538 A236485 Adjacent sequences:  A301618 A301619 A301620 * A301622 A301623 A301624 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.)