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A348742 Odd numbers k for which A161942(k) > k, where A161942 is the odd part of sigma. 5
9, 25, 49, 81, 121, 169, 225, 289, 361, 441, 529, 625, 729, 841, 961, 1089, 1225, 1369, 1521, 1681, 1849, 2025, 2205, 2209, 2401, 2601, 2809, 3025, 3249, 3481, 3721, 3969, 4225, 4489, 4761, 5041, 5329, 5625, 5929, 6241, 6561, 6889, 7225, 7569, 7921, 8281, 8649, 9025, 9409, 9801, 10201, 10609, 11025, 11449, 11881, 12321 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
All odd squares (A016754) are present, but not all terms are squares. A348743 gives the nonsquare terms.
LINKS
MATHEMATICA
odd[n_] := n/2^IntegerExponent[n, 2]; Select[Range[1, 10^4, 2], odd[DivisorSigma[1, #]] > # &] (* Amiram Eldar, Nov 02 2021 *)
PROG
(PARI)
A000265(n) = (n >> valuation(n, 2));
isA348742(n) = ((n%2)&&A000265(sigma(n))>n);
CROSSREFS
Union of A016754 and A348743.
Cf. also A348739.
Sequence in context: A113659 A325701 A113745 * A016754 A110487 A259417
KEYWORD
nonn
AUTHOR
Antti Karttunen, Nov 02 2021
STATUS
approved

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Last modified August 29 12:23 EDT 2024. Contains 375517 sequences. (Running on oeis4.)