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A285705 a(n) =  2*n - A285703(n) = 2*n - A000203(A064216(n)). 5
1, 1, 2, 2, 3, 4, 2, 4, 4, 2, 4, 4, 13, 13, 6, 2, 10, 12, 6, 4, 4, 2, 18, 4, 19, 10, 6, 24, 4, 6, 2, 22, 18, 6, 10, 4, 2, 37, 30, 6, 51, 4, 30, 16, 6, 20, 4, 24, 8, 44, 4, 2, 34, 4, 2, 16, 4, 36, 34, 36, 65, 10, 86, 14, 4, 4, 26, 76, 6, 2, 10, 48, 50, 55, 10, 2, 56, 36, 6, 16, 42, 6, 70, 4, 37, 46, 6, 98, 16, 6, 2, 4, 58, 76, 100, 10, 2, 52, 4, 2, 16, 60, 54 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Question: Are all terms positive?

For listening: fast tempo and percussive instrument, default "modulo 88" pitch mapping, all 10000 terms.

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..10000

FORMULA

a(n) =  2*n - A285703(n) = 2*n - A000203(A064216(n)).

MATHEMATICA

Table[2 n - DivisorSigma[1, #] &@ If[n == 1, 1, Apply[Times, FactorInteger[2 n - 1] /. {p_, e_} /; p > 2 :> NextPrime[p, -1]^e]], {n, 103}] (* Michael De Vlieger, Apr 26 2017 *)

PROG

(Scheme) (define (A285705 n) (- (* 2 n) (A285703 n)))

CROSSREFS

Cf. A000203, A033879, A064216, A285703, A285704.

Sequence in context: A257062 A098223 A114892 * A238958 A238971 A194331

Adjacent sequences:  A285702 A285703 A285704 * A285706 A285707 A285708

KEYWORD

nonn,hear

AUTHOR

Antti Karttunen, Apr 26 2017

STATUS

approved

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Last modified October 22 17:39 EDT 2019. Contains 328319 sequences. (Running on oeis4.)