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Search: id:A002070
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| A002070 |
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Coefficient of x^p (p = n-th prime) in x * Product_{k=1..inf} (1-x^k)^2*(1-x^11k)^2.
(Formerly M0072 N0024)
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+0
3
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| -2, -1, 1, -2, 1, 4, -2, 0, -1, 0, 7, 3, -8, -6, 8, -6, 5, 12, -7, -3, 4, -10, -6, 15, -7, 2, -16, 18, 10, 9, 8, -18, -7, 10, -10, 2, -7, 4, -12, -6, -15, 7, 17, 4, -2, 0, 12, 19, 18, 15, 24, -30, -8, -23, -2, 14, 10, -28, -2, -18, 4, 24, 8, 12, -1, 13, 7, -22, 28, 30, -21, -20, -17, -26, -5, -1, -15, -2
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Form the infinite product x*[(1-x)*(1-x^11)*(1-x^2)*(1-x^22)*(1-x^3)*(1-x^33)*(1-x^4)*(1-x^44)*...]^2 and take the coefficients of x^2, x^3, x^5, x^7, x^11, x^13, x^17, x^19, ...
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
Shimura, Goro; A reciprocity law in non-solvable extensions. J. Reine Angew. Math. 221 1966 209-220.
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LINKS
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N. J. A. Sloane, Table of n, a(n) for n = 1..1229
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CROSSREFS
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Cf. A006571 (all coefficients).
Adjacent sequences: A002067 A002068 A002069 this_sequence A002071 A002072 A002073
Sequence in context: A165585 A082506 A053000 this_sequence A106052 A050473 A057593
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KEYWORD
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sign,easy,nice
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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