A318456 - OEIS

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A318456

a(n) = n OR A001065(n), where OR is bitwise-or (A003986) and A001065 = sum of proper divisors.

12

1, 3, 3, 7, 5, 6, 7, 15, 13, 10, 11, 28, 13, 14, 15, 31, 17, 23, 19, 22, 31, 30, 23, 60, 31, 26, 31, 28, 29, 62, 31, 63, 47, 54, 47, 55, 37, 54, 55, 58, 41, 62, 43, 44, 45, 62, 47, 124, 57, 59, 55, 62, 53, 118, 55, 120, 63, 58, 59, 124, 61, 62, 63, 127, 83, 78, 67, 126, 95, 78, 71, 123, 73, 106, 123, 76, 95, 94, 79, 122, 121, 126, 83

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OFFSET

1,2

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..65537

Index entries for sequences related to binary expansion of n

Index entries for sequences related to sigma(n)

FORMULA

a(n) = A003986(n, A001065(n)).

a(n) = A000203(n) - A318458(n).

MATHEMATICA

Array[BitOr[#, DivisorSigma[1, #] - #] &, 100] (* Paolo Xausa, Mar 11 2024 *)

PROG

(PARI) A318456(n) = bitor(n, sigma(n)-n);

(Python)

from sympy import divisor_sigma

def A318456(n): return n|divisor_sigma(n)-n # Chai Wah Wu, Jul 01 2022

CROSSREFS

Cf. A000203, A001065, A003986, A318457, A318458, A318466.

Sequence in context: A205680 A137695 A338768 * A209085 A086799 A218388

Adjacent sequences: A318453 A318454 A318455 * A318457 A318458 A318459

KEYWORD

nonn,base

AUTHOR

Antti Karttunen, Aug 26 2018

STATUS

approved