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A096624
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Numerators of the Riemann prime counting function.
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2
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0, 1, 2, 5, 7, 7, 9, 29, 16, 16, 19, 19, 22, 22, 22, 91, 103, 103, 115, 115, 115, 115, 127, 127, 133, 133, 137, 137, 149, 149, 161, 817, 817, 817, 817, 817, 877, 877, 877, 877, 937, 937, 997, 997, 997, 997, 1057, 1057, 1087, 1087, 1087, 1087, 1147, 1147, 1147
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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LINKS
| Eric Weisstein's World of Mathematics, Riemann Prime Counting Function
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FORMULA
| Let Sk{f(k)}= sum(k>=2,f(k)), then the g.f. of A096624/A096625 can be written as
(1/1)*Sa{(x^a)/(1-x)} - (1/2)*Sa{ Sb{ (x^(a*b))/(1-x)}} + (1/3)*Sa{ Sb{ Sc{ (x^(a*b*c))/(1-x)}}} - (1/4)*Sa{ Sb{ Sc{ Sd{ (x^(a*b*c*d))/(1-x)}}}} + ... [From Mats Granvik (mats.granvik(AT)abo.fi), Apr 6 2011]
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EXAMPLE
| 0, 1, 2, 5/2, 7/2, 7/2, 9/2, 29/6, 16/3, 16/3, 19/3, ...
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CROSSREFS
| Cf. A096625.
Sequence in context: A021392 A131688 A199590 * A145378 A069887 A120303
Adjacent sequences: A096621 A096622 A096623 * A096625 A096626 A096627
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KEYWORD
| nonn
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AUTHOR
| Eric Weisstein (eric(AT)weisstein.com), Jul 01, 2004
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