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Search: id:A103732
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| 5, 229, 731, 4111, 8117, 25189, 94891, 137909, 366803, 641959, 830885, 1341589, 2549923, 4504453, 5371979, 8803541, 11932549, 13799879, 20843861, 26956597, 38735575, 60493919, 74542099, 82483013, 100393765, 110446523, 132966511
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OFFSET
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0,1
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COMMENT
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The two a(n) formulae, given below, produce natural numbers for all n>=0.
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FORMULA
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a(n)=-A103728(n+4, 5)=-(1 -(p(n+4)-1)*binomial(p(n+4)-1, 5))/p(n+4), with p(n):=A000040(n) (n-th prime).
a(n)= -(394 - 499*p(n+4) + 310*p(n+4)^2 - 100*p(n+4)^3 + 16*p(n+4)^4 - p(n+4)^5)/5! = -sum(A103718(k, m)*p(n+4)^m, m=0..5)/5!.
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CROSSREFS
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Sequence in context: A046193 A112999 A002142 this_sequence A065757 A157776 A147540
Adjacent sequences: A103729 A103730 A103731 this_sequence A103733 A103734 A103735
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KEYWORD
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nonn,easy
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Feb 24 2005
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