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A002960 The square sieve.
(Formerly M1346)
+0
1
2, 5, 8, 12, 17, 22, 28, 34, 41, 48, 56, 65, 74, 84, 94, 105, 116, 128, 140, 153, 166, 180, 194, 209, 224, 240, 257, 274, 292, 310, 329, 348, 368, 388, 409, 430, 452, 474, 497 (list; graph; listen)
OFFSET

1,1

COMMENT

The g.f. (-z**4+z**5+2*z**2-z-2-z**11+z**12)/(z+1)/(z-1)**3 conjectured by S. Plouffe in his 1992 dissertation is wrong.

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

David L. Silverman, Problem #116, The Square Sieve, J. Rec. Math., 4 (1971), 288-289.

LINKS

S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.

S. Plouffe, 1031 Generating Functions and Conjectures, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.

Index entries for sequences generated by sieves

CROSSREFS

Sequence in context: A134925 A108577 A036789 this_sequence A022942 A024534 A011974

Adjacent sequences: A002957 A002958 A002959 this_sequence A002961 A002962 A002963

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified November 22 20:51 EST 2009. Contains 167312 sequences.


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