A359084 -id:A359084

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A359085

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

+10
2

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

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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*# &]