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A108957 Values of n such that n - 2^k is deficient for all 1 <= 2^k < n. +0
1
2, 3, 4, 5, 6, 9, 11, 12, 15, 17, 18, 23, 27, 33, 35, 39, 45, 47, 51, 53, 54, 59, 63, 65, 66, 69, 75, 77, 83, 87, 93, 95, 99, 107, 111, 117, 119, 123, 125, 126, 129, 131, 135, 137, 138, 143, 147, 149, 150, 153, 155, 159, 165, 167, 171, 173, 174, 179, 183, 185, 186 (list; graph; listen)
OFFSET

1,1

COMMENT

Conjectures: a. Sequence is infinite. b. There are infinitely many consecutive pairs, such as (5:6), (11:12), (17:18), (53:54), ... (204005:204006).

EXAMPLE

53 is a term because 52, 51, 49, 45, 37 and 21 are all deficient numbers.

CROSSREFS

Cf. A005100, A039669.

Sequence in context: A162228 A085714 A116546 this_sequence A080112 A123924 A036023

Adjacent sequences: A108954 A108955 A108956 this_sequence A108958 A108959 A108960

KEYWORD

easy,nonn

AUTHOR

Jason Earls (zevi_35711(AT)yahoo.com), Jul 22 2005

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Last modified November 24 14:25 EST 2009. Contains 167438 sequences.


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