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A079058
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Least k such that A025591(k)>p(n) (p(n)=the n-th partition number).
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0
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1, 3, 5, 6, 7, 8, 9, 9, 10, 11, 11, 12, 12, 13, 13, 14, 14, 14, 15, 15, 16, 16, 16, 17, 17, 18, 18, 18, 19, 19, 19, 20, 20, 20, 20, 21, 21, 21, 22, 22, 22, 22, 23, 23, 23, 24, 24, 24, 24, 25, 25, 25, 25, 26, 26, 26, 26, 27, 27, 27, 27, 28, 28, 28, 28, 28, 29, 29, 29, 29, 30, 30
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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FORMULA
| a(n) is asymptotic to C*sqrt(n) with 3.5<C<3.6... Is it true that C = exp(Pi/sqrt(6))?
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PROG
| (PARI) a(n)=if(n<0, 0, k=1; while(polcoeff(prod(i=1, k, 1+x^i), k*(k+1)\4)-polcoeff(1/eta(x), n)<0, k++); k)
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CROSSREFS
| Cf. A000041.
Sequence in context: A196008 A004220 A202308 * A036496 A196112 A009004
Adjacent sequences: A079055 A079056 A079057 * A079059 A079060 A079061
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KEYWORD
| nonn
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AUTHOR
| Benoit Cloitre (benoit7848c(AT)orange.fr), Feb 02 2003
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