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A045798 Oddish numbers (prime to 10 and 10's digit is odd). 15
11, 13, 17, 19, 31, 33, 37, 39, 51, 53, 57, 59, 71, 73, 77, 79, 91, 93, 97, 99, 111, 113, 117, 119, 131, 133, 137, 139, 151, 153, 157, 159, 171, 173, 177, 179, 191, 193, 197, 199, 211, 213, 217, 219, 231, 233, 237, 239, 251, 253, 257, 259 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
From Jianing Song, Apr 27 2019: (Start)
Numbers congruent to {11, 13, 17, 19} mod 20.
Numbers k such that Kronecker(-20,k) = A289741(k) = -1. (End)
LINKS
FORMULA
Conjecture a(n) = a(n-1)+a(n-4)-a(n-5). G.f.: x*(11+2*x+4*x^2+2*x^3+x^4)/((1-x)^2*(1+x)*(1+x^2)). - Colin Barker, Apr 14 2012
a(n) = 5n + O(1). - Charles R Greathouse IV, Feb 07 2017
a(n+4) = a(n) + 20. This confirms Barker's conjecture. - Robert Israel, Mar 27 2017
MAPLE
seq(seq(20*j + k, k = [11, 13, 17, 19]), j=0..100); # Robert Israel, Mar 27 2017
MATHEMATICA
Table[10n+{1, 3, 7, 9}, {n, 1, 31, 2}]//Flatten (* Harvey P. Dale, Oct 01 2019 *)
PROG
(Haskell)
a045798 n = a045798_list !! (n-1)
a045798_list = filter (odd . (`mod` 10) . (`div` 10)) a045572_list
-- Reinhard Zumkeller, Dec 10 2011
(PARI) is(n)=gcd(n, 10)==1 && n\10%2 \\ Charles R Greathouse IV, Feb 07 2017
CROSSREFS
Complement of A045797 with respect to A045572.
Sequence in context: A356466 A168446 A275467 * A267277 A155071 A003626
KEYWORD
nonn,base,easy,nice
AUTHOR
EXTENSIONS
More terms from Erich Friedman.
STATUS
approved

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Last modified August 29 18:55 EDT 2024. Contains 375518 sequences. (Running on oeis4.)