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A177072 (9*n+2)*(9*n+7). 2
14, 176, 500, 986, 1634, 2444, 3416, 4550, 5846, 7304, 8924, 10706, 12650, 14756, 17024, 19454, 22046, 24800, 27716, 30794, 34034, 37436, 41000, 44726, 48614, 52664, 56876, 61250, 65786, 70484, 75344, 80366, 85550, 90896, 96404, 102074 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Cf. comment of Reinhard Zumkeller in A177059: in general, (h*n+h-k)*(h*n+k)=h^2*A002061(n+1)+(h-k)*k-h^2; therefore a(n)=81*A002061(n+1)-67. - Bruno Berselli, Aug 24 2010

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

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

FORMULA

a(n) = 162*n+a(n-1) with n>0, a(0)=14.

G.f.: 2*(7+67*x+7*x^2)/(1-x)^3. - Vincenzo Librandi, Apr 08 2013

a(n) = 3*a(n-1)-3*a(n-2)+a(n-3). - Vincenzo Librandi, Apr 08 2013

MATHEMATICA

CoefficientList[Series[2(7 + 67 x + 7 x^2)/(1-x)^3, {x, 0, 50}], x] (* Vincenzo Librandi, Apr 08 2013 *)

PROG

(MAGMA) I:=[14, 176, 500]; [n le 3 select I[n] else 3*Self(n-1)-3*Self(n-2)+Self(n-3): n in [1..50]]; // Vincenzo Librandi, Apr 08 2013

(PARI) a(n)=(9*n+2)*(9*n+7) \\ Charles R Greathouse IV, Jun 17 2017

CROSSREFS

Cf. A002061, A177059.

Sequence in context: A269680 A269469 A144506 * A274565 A125471 A132010

Adjacent sequences:  A177069 A177070 A177071 * A177073 A177074 A177075

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi, May 31 2010

EXTENSIONS

Edited by N. J. A. Sloane, Jun 22 2010

STATUS

approved

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Last modified September 25 07:16 EDT 2020. Contains 337335 sequences. (Running on oeis4.)