The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A295869 Numbers not divisible by 2, 3 or 5 (A007775) with digital root 8. 1
 17, 53, 71, 89, 107, 143, 161, 179, 197, 233, 251, 269, 287, 323, 341, 359, 377, 413, 431, 449, 467, 503, 521, 539, 557, 593, 611, 629, 647, 683, 701, 719, 737, 773, 791, 809, 827, 863, 881, 899, 917, 953, 971, 989, 1007, 1043, 1061, 1079, 1097, 1133 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Numbers == {17, 53, 71, 89} mod 90 with additive sum sequence 17{+36+18+18+18} {repeat ...}. Includes all prime numbers >5 with digital root 8. 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 == {17, 53, 71, 89} mod 90. From Colin Barker, Mar 26 2018: (Start) G.f.: x*(17 + 36*x + 18*x^2 + 18*x^3 + x^4) / ((1 - x)^2*(1 + x)*(1 + x^2)). a(n) = (5 + 9*(-1)^n - (9+9*i)*(-i)^n - (9-9*i)*i^n + 90*n) / 4, where i=sqrt(-1). a(n) = a(n-1) + a(n-4) - a(n-5) for n>5. (End) EXAMPLE 17+36=53; 53+18=71; 71+18=89; 89+18=107; 107+36=143. MAPLE select(n->modp(n, 2)<>0 and modp(n, 3)<>0 and modp(n, 5)<>0 and n-9*floor((n-1)/9)=8, [\$1..1200]); # Muniru A Asiru, May 30 2018 PROG (PARI) Vec(x*(17 + 36*x + 18*x^2 + 18*x^3 + x^4) / ((1 - x)^2*(1 + x)*(1 + x^2)) + O(x^60)) \\ Colin Barker, Mar 26 2018 (GAP) Filtered([1..1200], n->n mod 2<>0 and n mod 3 <>0 and n mod 5<>0 and n-9*Int((n-1)/9)=8); # Muniru A Asiru, May 30 2018 CROSSREFS Intersection of A007775 and A017257. Sequence in context: A286211 A213997 A062342 * A061242 A062343 A176254 Adjacent sequences:  A295866 A295867 A295868 * A295870 A295871 A295872 KEYWORD nonn,base,easy AUTHOR Gary Croft, Mar 24 2018 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified February 28 04:20 EST 2020. Contains 332321 sequences. (Running on oeis4.)