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 A305904 Filter sequence for all such sequences S, for which S(A091206(k)) = constant for all k >= 3, where A091206 gives primes whose binary representation encodes a polynomial irreducible over GF(2). 2
 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 7, 11, 7, 12, 13, 14, 15, 16, 7, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 7, 28, 29, 30, 31, 32, 7, 33, 34, 35, 7, 36, 37, 38, 39, 40, 7, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 7, 52, 7, 53, 54, 55, 56, 57, 7, 58, 59, 60, 61, 62, 7, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 7 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Restricted growth sequence transform of the ordered pair [A305900(n), A305903(n)]. For all i, j: a(i) = a(j) => A305815(i) = A305815(j). LINKS Antti Karttunen, Table of n, a(n) for n = 1..100000 Index entries for sequences operating on GF(2)[X]-polynomials FORMULA For n < 7, a(n) = n; for >= 7, a(n) = 7 if A305816(n) = 1 [when n is in A091206[3..] = 7, 11, 13, 19, 31, 37, 41, ...], and 3+n-A305817(n) otherwise. PROG (PARI) up_to = 100000; A305816(n) = (isprime(n)&&polisirreducible(Pol(binary(n))*Mod(1, 2))); partialsums(f, up_to) = { my(v = vector(up_to), s=0); for(i=1, up_to, s += f(i); v[i] = s); (v); } v305817 = partialsums(A305816, up_to); A305817(n) = v305817[n]; A305904(n) = if(n<7, n, if(A305816(n), 7, 3+n-A305817(n))); CROSSREFS Cf. A091206, A305815, A305816, A305817, A305900, A305903. Sequence in context: A048893 A330814 A305903 * A319345 A213651 A287796 Adjacent sequences: A305901 A305902 A305903 * A305905 A305906 A305907 KEYWORD nonn AUTHOR Antti Karttunen, Jun 16 2018 STATUS approved

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Last modified February 22 09:46 EST 2024. Contains 370250 sequences. (Running on oeis4.)