A364562 Numbers k for which A156552(k) > k.

7, 11, 13, 14, 17, 19, 22, 23, 26, 28, 29, 31, 33, 34, 37, 38, 39, 41, 43, 44, 46, 47, 51, 52, 53, 56, 57, 58, 59, 61, 62, 65, 66, 67, 68, 69, 71, 73, 74, 76, 78, 79, 82, 83, 85, 86, 87, 88, 89, 92, 93, 94, 95, 97, 101, 102, 103, 104, 106, 107, 109, 111, 112, 113, 114, 115, 116, 117, 118, 119, 122, 123, 124, 127

Offset

1,1

Comments

Numbers k such that A005941(k) > k.

If k is a term, then also 2*k is present in this sequence, and vice versa.

Links

Table of n, a(n) for n=1..74.

Prog

(PARI)
A156552(n) = { my(f = factor(n), p, p2 = 1, res = 0); for(i = 1, #f~, p = 1 << (primepi(f[i, 1]) - 1); res += (p * p2 * (2^(f[i, 2]) - 1)); p2 <<= f[i, 2]); res };
isA364562(n) = (A156552(n) > n);

Crossrefs

Positions of strictly positive terms in A364559.

Cf. A005941, A156552, A364560 (complement).

Sequence in context: A279622 A247819 A051660 * A187040 A028784 A119393

Adjacent sequences: A364559 A364560 A364561 * A364563 A364564 A364565

Keyword

nonn

Author

Antti Karttunen, Jul 28 2023

Status

approved