A244631 a(n) = 19*n^2.

0, 19, 76, 171, 304, 475, 684, 931, 1216, 1539, 1900, 2299, 2736, 3211, 3724, 4275, 4864, 5491, 6156, 6859, 7600, 8379, 9196, 10051, 10944, 11875, 12844, 13851, 14896, 15979, 17100, 18259, 19456, 20691, 21964, 23275, 24624, 26011, 27436, 28899, 30400, 31939, 33516

Offset

0,2

Comments

First bisection of A195048. - Bruno Berselli, Jul 03 2014

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

G.f.: 19*x*(1 + x)/(1 - x)^3. [corrected by Bruno Berselli, Jul 03 2014]

a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3) for n > 2.

a(n) = 19*A000290(n). - Omar E. Pol, Jul 03 2014

From Elmo R. Oliveira, Dec 01 2024: (Start)

E.g.f.: 19*x*(1 + x)*exp(x).

a(n) = n*A008601(n) = A195048(2*n). (End)

Mathematica

Table[19 n^2, {n, 0, 40}]

Prog

(Magma) [19*n^2: n in [0..40]];
(PARI) a(n)=19*n^2 \\ Charles R Greathouse IV, Jun 17 2017

Crossrefs

Cf. A000290, A008601, A195048.

Cf. similar sequences listed in A244630.

Sequence in context: A159997 A073566 A098467 * A304513 A041698 A041700

Adjacent sequences: A244628 A244629 A244630 * A244632 A244633 A244634

Keyword

nonn,easy

Author

Vincenzo Librandi, Jul 03 2014

Status

approved