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A343996 a(n) = A011772(n) if that number is odd, otherwise A011772(n)+1. 4
1, 3, 3, 7, 5, 3, 7, 15, 9, 5, 11, 9, 13, 7, 5, 31, 17, 9, 19, 15, 7, 11, 23, 15, 25, 13, 27, 7, 29, 15, 31, 63, 11, 17, 15, 9, 37, 19, 13, 15, 41, 21, 43, 33, 9, 23, 47, 33, 49, 25, 17, 39, 53, 27, 11, 49, 19, 29, 59, 15, 61, 31, 27, 127, 25, 11, 67, 17, 23, 21, 71, 63, 73, 37, 25, 57, 21, 13, 79, 65, 81, 41 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

N. J. A. Sloane, Table of n, a(n) for n = 1..16383

PROG

(Python)

from sympy.ntheory.modular import crt

from sympy import factorint

from itertools import product

def A343996(n):

    fs = factorint(2*n)

    plist = [p**fs[p] for p in fs]

    x = min(k for k in (crt(plist, d)[0] for d in product([0, -1], repeat=len(plist))) if k > 0)

    return x + 1 - x % 2 # Chai Wah Wu, Jun 01 2021

CROSSREFS

Cf. A000217, A011772, A061781, A343997.

Sequence in context: A096633 A175482 A318261 * A118362 A339020 A258273

Adjacent sequences:  A343993 A343994 A343995 * A343997 A343998 A343999

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Jun 01 2021

STATUS

approved

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Last modified May 28 22:08 EDT 2022. Contains 354122 sequences. (Running on oeis4.)