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Search: id:A120285
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| A120285 |
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Numerator of harmonic number H(p-1) = Sum[ 1/k, {k,1,Prime[n]-1}] for prime p. |
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+0
1
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| 1, 3, 25, 49, 7381, 86021, 2436559, 14274301, 19093197, 315404588903, 9304682830147, 54801925434709, 2078178381193813, 12309312989335019, 5943339269060627227, 14063600165435720745359, 254381445831833111660789
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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p^2 = Prime[n]^2 divides a(n) for n>2.
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LINKS
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Eric Weisstein's World of Mathematics, Wolstenholme's Theorem.
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FORMULA
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a(n) = numerator[Sum[1/k,{k,1,Prime[n]-1}]]. a(n) = A001008[Prime[n]-1]. a(n) = A061002[n]*Prime[n]^2 for n>2.
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MATHEMATICA
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Numerator[Table[Sum[1/k, {k, 1, Prime[n]-1}], {n, 1, 20}]]
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CROSSREFS
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Cf. A001008, A061002.
Sequence in context: A042899 A051280 A145609 this_sequence A041897 A006222 A129443
Adjacent sequences: A120282 A120283 A120284 this_sequence A120286 A120287 A120288
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KEYWORD
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frac,nonn
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AUTHOR
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Alexander Adamchuk (alex(AT)kolmogorov.com), Jul 07 2006
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