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A134934 a(n) = (14*n+1)^2. 1
1, 225, 841, 1849, 3249, 5041, 7225, 9801, 12769, 16129, 19881, 24025, 28561, 33489, 38809, 44521, 50625, 57121, 64009, 71289, 78961, 87025, 95481, 104329, 113569, 123201, 133225, 143641, 154449, 165649, 177241, 189225, 201601, 214369, 227529, 241081 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Number of rats in population after n years, starting with one rat at year 0 (see A016754 for more details).

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

O.g.f.: -(1+222*x+169*x^2)/(-1+x)^3 = -169/(-1+x)-560/(-1+x)^2-392/(-1+x)^3 . - R. J. Mathar, Jan 31 2008

a(n) = A016754(7*n).

PROG

(MAGMA) [(14*n+1)^2: n in [0..50]]; // Vincenzo Librandi, Sep 06 2011

(PARI) a(n)=(14*n+1)^2 \\ Charles R Greathouse IV, Jun 17 2017

CROSSREFS

Cf. A016754.

Sequence in context: A287298 A117246 A027470 * A250807 A330096 A091078

Adjacent sequences:  A134931 A134932 A134933 * A134935 A134936 A134937

KEYWORD

nonn,easy

AUTHOR

Hans Isdahl, Jan 26 2008

STATUS

approved

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Last modified September 27 15:44 EDT 2021. Contains 347691 sequences. (Running on oeis4.)