A359085 Odd numbers k such that A246601(k) > 2*k.

4095, 16777215, 33550335, 67096575, 134189055, 268374015, 536743935, 1073483775, 2146963455, 4293922815, 8587841535, 17175678975, 34351353855, 68702703615, 68719476735, 137405403135, 137422176255, 137438949375, 274810802175, 274827575295, 274844348415, 274877894655

Offset

1,1

Comments

These are the odd terms of A359084 and also its primitive terms, since if m is a term then m*2^k is a term of A359084 for all k >= 0.

The least term that is not divisible by 4095 is a(29) = 1099511627775 = 2^40 - 1.

Links

Amiram Eldar, Table of n, a(n) for n = 1..29

Index entries for sequences related to binary expansion of n.

Index entries for sequences related to divisors of numbers.

Mathematica

s[n_] := DivisorSum[n, # &, BitAnd[n, #] == # &]; Select[Range[1, 2^24, 2], s[#] > 2*# &]

Prog

(PARI) is(n) = n%2 && sumdiv(n, d, d * (bitor(n, d) == n)) > 2*n;

Crossrefs

Cf. A246601.

Subsequence of A005101, A005231 and A359084.

Sequence in context: A161004 A022194 A069387 * A069413 A069439 A212935

Adjacent sequences: A359082 A359083 A359084 * A359086 A359087 A359088

Keyword

nonn,base

Author

Amiram Eldar, Dec 15 2022

Status

approved