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A066376 Number of "divisors" d < n such that there is another d' < n with d*d' = n. +0
2
0, 1, 1, 2, 1, 3, 2, 3, 1, 3, 1, 5, 1, 5, 4, 4, 1, 3, 1, 5, 2, 3, 1, 7, 1, 3, 3, 8, 1, 9, 7, 5, 1, 3, 1, 5, 1, 3, 1, 7, 1, 5, 1, 5, 3, 3, 3, 9, 1, 3, 3, 5, 1, 7, 3, 11, 1, 3, 3, 14, 3, 15, 13, 6, 1, 3, 1, 5, 1, 3, 1, 7, 2, 3, 1, 5, 1, 3, 1, 9, 1, 3, 1, 8, 4, 3, 1, 7, 1, 7, 3, 5, 1, 7, 5, 11, 1 (list; graph; listen)
OFFSET

1,4

COMMENT

Define "+" as binary bitwise inclusive-OR and then implement "*" as shift-and-"+". Note that * is commutative and associative and distributes over +.

EXAMPLE

14 has 5 "divisors": 1, 2, 3, 6, 7, since for example 2*7 = 10*111 = 1110 OR 0000 = 1110; 3*6 = 11*110 = 1100 OR 0110 = 1110.

CROSSREFS

Cf. A067139 ("primes").

Sequence in context: A101608 A102853 A107337 this_sequence A151682 A159918 A108663

Adjacent sequences: A066373 A066374 A066375 this_sequence A066377 A066378 A066379

KEYWORD

nonn,easy,nice

AUTHOR

Marc LeBrun (mlb(AT)well.com), Dec 22 2001

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


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