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A023105 Number of distinct quadratic residues mod 2^n. 2
1, 2, 2, 3, 4, 7, 12, 23, 44, 87, 172, 343, 684, 1367, 2732, 5463, 10924, 21847, 43692, 87383, 174764, 349527, 699052, 1398103, 2796204, 5592407, 11184812, 22369623, 44739244, 89478487, 178956972, 357913943, 715827884, 1431655767, 2863311532 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

Number of distinct n-digit suffixes of base 2 squares.

REFERENCES

W. D. Stangl, "Counting Squares in Z_n", Mathematics Magazine, pp. 285-289, Vol. 69 No. 4 October 1996.

FORMULA

[ (2^n+10)/6 ].

CROSSREFS

Sequence in context: A173433 A053638 A051920 * A011784 A032252 A112708

Adjacent sequences:  A023102 A023103 A023104 * A023106 A023107 A023108

KEYWORD

nonn,easy

AUTHOR

David W. Wilson (davidwwilson(AT)comcast.net)

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Last modified February 13 05:18 EST 2012. Contains 205435 sequences.