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Search: id:A132608
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| A132608 |
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Self-convolution square-root of A062817 (offset 2); thus g.f. A(x) satisfies: A(x)^2 = Sum(n>=2} A062817(n)*x^n, where A062817(n) = Sum_{k=0..n} (n-k)^k*k^(n-k). |
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+0
3
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| 1, 2, 9, 58, 469, 4530, 50491, 634790, 8861043, 135750454, 2262315973, 40726646802, 787471241647, 16275700505510, 358103286781293, 8357593147404346, 206241859929682177, 5366082228239257410
(list; graph; listen)
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OFFSET
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1,2
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EXAMPLE
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A(x) = x + 2x^2 + 9x^3 + 58x^4 + 469x^5 + 4530x^6 +...+ a(n)*x^n +...
A(x)^2 = x^2 + 4x^3 + 22x^4 + 152x^5 + 1251x^6 +...+ A062817(n)*x^n +...
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PROGRAM
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(PARI) {a(n)=polcoeff((sum(m=2, n+1, sum(k=0, m, (m-k)^k*k^(m-k))*x^m +x*O(x^(n+1))))^(1/2), n)}
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CROSSREFS
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Cf. A062817; A132609.
Sequence in context: A141787 A047852 A116867 this_sequence A080834 A059115 A005364
Adjacent sequences: A132605 A132606 A132607 this_sequence A132609 A132610 A132611
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Aug 26 2007
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