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A093640 Number of divisors of n whose binary representation is contained in that of n. +0
3
1, 2, 2, 3, 2, 4, 2, 4, 2, 4, 2, 6, 2, 4, 3, 5, 2, 4, 2, 6, 2, 4, 2, 8, 2, 4, 3, 6, 2, 6, 2, 6, 2, 4, 2, 6, 2, 4, 3, 8, 2, 4, 2, 6, 4, 4, 2, 10, 2, 4, 3, 6, 2, 6, 4, 8, 3, 4, 2, 9, 2, 4, 4, 7, 2, 4, 2, 6, 2, 4, 2, 8, 2, 4, 4, 6, 2, 6, 2, 10, 2, 4, 2, 6, 3, 4, 3, 8, 2, 8, 3, 6, 3, 4, 3, 12, 2, 4, 3, 6, 2 (list; graph; listen)
OFFSET

1,2

COMMENT

a(n)>1 for n>1; a(p) =2 for primes p.

a(A093641(n)) =A000005(A093641(n)), a(A093642(n))<A000005(A093642(n)).

LINKS

Index entries for sequences related to binary expansion of n

EXAMPLE

n=18: divisors of 18: 1='1', 2='10', 3='11', 6='110', 9='1001' and 18='10010': four of them are binary substrings of '10010', therefore a(18) =4.

CROSSREFS

Cf. A078822, A007088.

Sequence in context: A043261 A157986 A025479 this_sequence A083903 A083867 A076888

Adjacent sequences: A093637 A093638 A093639 this_sequence A093641 A093642 A093643

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Apr 07 2004

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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