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A190576 n^2+5*n-5. 2
1, 9, 19, 31, 45, 61, 79, 99, 121, 145, 171, 199, 229, 261, 295, 331, 369, 409, 451, 495, 541, 589, 639, 691, 745, 801, 859, 919, 981, 1045, 1111, 1179, 1249, 1321, 1395, 1471, 1549, 1629, 1711, 1795, 1881, 1969, 2059, 2151, 2245, 2341 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

a(n)=n^2+k*n-k, A000290 for k=0, A028387 for k=1, A028872 for k=2, A082111 for k=3, A028884 for k=4.

Also a(n) = n^2+9*n+9 if the offset is changed to -1. - R. J. Mathar, May 18 2011

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

Index entries for linear recurrences with constant coefficients, signature (3,-3,1)

FORMULA

G.f. x*(-1-6*x+5*x^2) / (x-1)^3. - R. J. Mathar, May 18 2011

a(1)=1, a(2)=9, a(3)=19, a(n)=3*a(n-1)-3*a(n-2)+a(n-3). - Harvey P. Dale, May 28 2015

MATHEMATICA

k = 5; Table[n^2 + k*n - k, {n, 100}]

LinearRecurrence[{3, -3, 1}, {1, 9, 19}, 50] (* Harvey P. Dale, May 28 2015 *)

PROG

(MAGMA) [n^2+5*n-5: n in [1..50]]; // Vincenzo Librandi, Sep 30 2011

CROSSREFS

Cf. A000290, A028387, A028872, A082111, A028884.

Sequence in context: A189798 A056126 A190513 * A250663 A274590 A051811

Adjacent sequences:  A190573 A190574 A190575 * A190577 A190578 A190579

KEYWORD

nonn,easy

AUTHOR

Vladimir Joseph Stephan Orlovsky, May 12 2011

STATUS

approved

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Last modified May 29 22:45 EDT 2017. Contains 287257 sequences.