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A010010 a(0) = 1, a(n) = 20*n^2 + 2 for n>0. 4
1, 22, 82, 182, 322, 502, 722, 982, 1282, 1622, 2002, 2422, 2882, 3382, 3922, 4502, 5122, 5782, 6482, 7222, 8002, 8822, 9682, 10582, 11522, 12502, 13522, 14582, 15682, 16822, 18002, 19222, 20482, 21782, 23122, 24502, 25922, 27382, 28882, 30422, 32002, 33622 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Bruno Berselli, Table of n, a(n) for n = 0..1000

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

FORMULA

a(n) = A033571(n)+A158186(n) = A158187(n)*2 for n>0. - Reinhard Zumkeller, Mar 13 2009

G.f.: (1+x)*(1+18*x+x^2)/(1-x)^3. - Bruno Berselli, Feb 06 2012

E.g.f.: (x*(x+1)*20+2)*e^x-1. - Gopinath A. R., Feb 14 2012

MATHEMATICA

Join[{1}, 20 Range[41]^2 + 2] (* Bruno Berselli, Feb 06 2012 *)

Join[{1}, LinearRecurrence[{3, -3, 1}, {22, 82, 182}, 50]] (* Vincenzo Librandi, Aug 03 2015 *)

PROG

(MAGMA) [1] cat [20*n^2 + 2: n in [1..50]]; // Vincenzo Librandi, Aug 03 2015

CROSSREFS

Cf. A206399.

Sequence in context: A253304 A094844 A323251 * A237618 A105101 A235766

Adjacent sequences:  A010007 A010008 A010009 * A010011 A010012 A010013

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified July 18 15:26 EDT 2019. Contains 325143 sequences. (Running on oeis4.)