A058795 Row 4 of A007754.

7, 85, 301, 751, 1555, 2857, 4825, 7651, 11551, 16765, 23557, 32215, 43051, 56401, 72625, 92107, 115255, 142501, 174301, 211135, 253507, 301945, 357001, 419251, 489295, 567757, 655285, 752551, 860251, 979105, 1109857, 1253275, 1410151

Offset

0,1

Links

Seiichi Manyama, Table of n, a(n) for n = 0..10000

Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).

Formula

a(n) = n^4 + 10*n^3 + 32*n^2 + 35*n + 7.

G.f.: (5*x^4 - 26*x^3 + 54*x^2 - 50*x -7) / (x-1)^5. - Colin Barker, Jan 16 2013

E.g.f.: (7 + 78*x + 69*x^2 + 16*x^3 + x^4)*exp(x). - G. C. Greubel, Nov 29 2018

Mathematica

LinearRecurrence[{5, -10, 10, -5, 1}, {7, 85, 301, 751, 1555}, 40] (* Harvey P. Dale, Dec 09 2015 *)
Table[n^4 + 10 n^3 + 32 n^2 + 35 n + 7, {n, 0, 40}] (* Vincenzo Librandi, Sep 22 2016 *)

Prog

(Magma) [n^4+10*n^3+32*n^2+35*n+7: n in [0..40]]; // Vincenzo Librandi, Sep 22 2016
(PARI) vector(40, n, n--; n^4+10*n^3+32*n^2+35*n+7) \\ G. C. Greubel, Nov 29 2018
(Sage) [(n^4+10*n^3+32*n^2+35*n+7) for n in range(40)] # G. C. Greubel, Nov 29 2018
(GAP) List([0..40], n -> n^4+10*n^3+32*n^2+35*n+7); # G. C. Greubel, Nov 29 2018

Crossrefs

Cf. A007754.

Sequence in context: A254569 A183177 A367351 * A027459 A329108 A162160

Adjacent sequences: A058792 A058793 A058794 * A058796 A058797 A058798

Keyword

nonn,easy

Author

Christian G. Bower, Dec 02 2000

Status

approved