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A304110 a(n) is the number of terms of A304107 <= n; Partial sums of A304109. 4
1, 2, 3, 3, 3, 4, 5, 5, 6, 6, 7, 7, 8, 9, 9, 9, 9, 10, 11, 11, 11, 12, 13, 13, 14, 15, 15, 15, 16, 16, 17, 17, 18, 18, 19, 19, 20, 21, 21, 21, 22, 22, 23, 23, 23, 24, 25, 25, 26, 27, 27, 27, 28, 28, 29, 29, 29, 30, 31, 31, 32, 33, 33, 33, 33, 34, 35, 35, 35, 36, 37, 37, 38, 39, 39, 39, 40, 40, 41, 41, 41, 42, 43, 43, 43, 44 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Question: Does lim_{n -> inf} a(n)/n converge to 1/2 ? See also A304111.

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..16384

Index entries for sequences related to polynomials in ring GF(2)[X]

FORMULA

a(1) = 1; for n > 1, a(n) = A304109(n) + a(n-1).

PROG

(PARI)

up_to = 128;

A304109(n) = { my(fm=factor(Pol(binary(n))*Mod(1, 2))); for(k=1, #fm~, if(fm[k, 2] > 1, return(0))); (1); };

prepare_v304110(up_to) = { my(v=vector(up_to), c=0); for(n=1, up_to, c += A304109(n); v[n] = c); (v); };

v304110 = prepare_v304110(up_to);

A304110(n) = v304110[n];

CROSSREFS

Cf. A304107, A304109, A304111.

Sequence in context: A137512 A157943 A267098 * A051134 A037458 A296816

Adjacent sequences:  A304107 A304108 A304109 * A304111 A304112 A304113

KEYWORD

nonn

AUTHOR

Antti Karttunen, May 13 2018

STATUS

approved

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Last modified November 17 00:08 EST 2019. Contains 329209 sequences. (Running on oeis4.)