A139610 a(n) = 45*n + 10.

10, 55, 100, 145, 190, 235, 280, 325, 370, 415, 460, 505, 550, 595, 640, 685, 730, 775, 820, 865, 910, 955, 1000, 1045, 1090, 1135, 1180, 1225, 1270, 1315, 1360, 1405, 1450, 1495, 1540, 1585, 1630, 1675, 1720, 1765, 1810, 1855, 1900

Offset: 0

Author

Omar E. Pol, Apr 27 2008

Keywords

• easy
• nonn

Comments

Numbers of the 10th column of positive numbers in the square array of nonnegative and polygonal numbers A139600.

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..5000
• Index to sequences related to polygonal numbers
• Index entries for linear recurrences with constant coefficients, signature (2,-1).

Crossrefs

Cf. A017185, A057145, A062708, A139600.

Programs

Magma

[5*(9*n + 2): n in [0..60]]; // Vincenzo Librandi, Jul 23 2011

Mathematica

45*Range[0,50]+10 (* or *) LinearRecurrence[{2,-1},{10,55},50] (* Harvey P. Dale, Dec 27 2021 *)

PARI

a(n)=45*n+10 \\ Charles R Greathouse IV, Oct 05 2011

Formula

a(n) = A057145(n+2,10).

G.f.: 5*(2+7*x)/(x-1)^2. - R. J. Mathar, Jul 28 2016

From Elmo R. Oliveira, Apr 16 2024: (Start)

E.g.f.: 5*exp(x)*(2 + 9*x).

a(n) = 5*A017185(n) = 5*(A062708(n+1) - A062708(n)).

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