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A059845
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a(n) = n*(3*n + 11)/2.
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17
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0, 7, 17, 30, 46, 65, 87, 112, 140, 171, 205, 242, 282, 325, 371, 420, 472, 527, 585, 646, 710, 777, 847, 920, 996, 1075, 1157, 1242, 1330, 1421, 1515, 1612, 1712, 1815, 1921, 2030, 2142, 2257, 2375, 2496, 2620, 2747, 2877, 3010, 3146, 3285, 3427, 3572, 3720
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OFFSET
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0,2
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COMMENTS
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Maximum dimension of Euclidean spaces which suffice for every smooth compact Riemannian n-manifold to be realizable as a sub-manifold. - comment edited by Gene Ward Smith, Jan 15 2017
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LINKS
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FORMULA
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E.g.f.: (1/2)*(3*x^2 + 14*x)*exp(x). - G. C. Greubel, Jul 17 2017
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MAPLE
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MATHEMATICA
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Table[n (3n+11)/2, {n, 0, 50}] (* or *) LinearRecurrence[{3, -3, 1}, {0, 7, 17}, 50] (* Harvey P. Dale, Mar 19 2017 *)
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PROG
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(PARI) for (n=0, 2000, write("b059845.txt", n, " ", n*(3*n + 11)/2); ) \\ Harry J. Smith, Jun 29 2009
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CROSSREFS
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The generalized pentagonal numbers b*n + 3*n*(n-1)/2, for b = 1 through 12, form sequences A000326, A005449, A045943, A059845, A115067, A140090, A140091, A140672, A140673, A140674, A140675, A151542.
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KEYWORD
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easy,nonn
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AUTHOR
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STATUS
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approved
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