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Search: id:A024536
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| A024536 |
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[ (4th elementary symmetric function of P(n))/(3rd elementary symmetric function of P(n)) ], where P(n) = {1, p(1), p(2), ..., p(n-1)}, p(0) = 1. |
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+0
1
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| 0, 1, 2, 4, 7, 10, 14, 19, 25, 32, 40, 49, 59, 70, 82, 95, 110, 125, 141, 159, 178, 197, 219, 242, 265, 290, 315, 341, 370, 400, 432, 464, 498, 534, 570, 608, 647, 688, 730, 773, 818, 863, 910, 957, 1007, 1060, 1114, 1168, 1224, 1281, 1338, 1398
(list; graph; listen)
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OFFSET
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4,3
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COMMENT
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p(i) denotes the i-th prime, and [...] the floor function. - M. F. Hasler, Dec 11 2007
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FORMULA
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a(n) = floor(A024524(n)/A024523(n))
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PROGRAM
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(PARI) /* symmetric polynomial of order n in X=[X1, ..., XN] */ sympol(X, n, s)=forvec(i=vector(n, j, [1, #X]), s+=prod(k=1, n, X[i[k]]), 2); s /* list of primes 0...n-1 with p(0)=1 */ P(n)=concat([1], vector(n-1, i, prime(i))) /* this sequence */ A024536(n) = sympol(P(n), 4) \ sympol(P(n), 3) \\ - M. F. Hasler, Dec 11 2007
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CROSSREFS
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Cf. A024523, A024524.
Sequence in context: A025704 A025710 A023536 this_sequence A094281 A076101 A079963
Adjacent sequences: A024533 A024534 A024535 this_sequence A024537 A024538 A024539
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KEYWORD
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nonn
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AUTHOR
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Clark Kimberling (ck6(AT)evansville.edu)
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EXTENSIONS
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Extended (up to a(55)) by M. F. Hasler (maximilian.hasler(AT)gmail.com), Dec 11 2007
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