A250024 40n - 21.

19, 59, 99, 139, 179, 219, 259, 299, 339, 379, 419, 459, 499, 539, 579, 619, 659, 699, 739, 779, 819, 859, 899, 939, 979, 1019, 1059, 1099, 1139, 1179, 1219, 1259, 1299, 1339, 1379, 1419, 1459, 1499, 1539, 1579, 1619, 1659, 1699, 1739, 1779, 1819, 1859, 1899

Offset

1,1

Comments

This is the sequence of numbers congruent to 19 mod 40.

A142190 gives the primes in this sequence.

Links

Karl V. Keller, Jr., Table of n, a(n) for n = 1..10000

Tanya Khovanova, Recursive Sequences

Index entries for linear recurrences with constant coefficients, signature (2,-1).

Formula

G.f.: x*(19+21*x)/(1-x)^2. - Vincenzo Librandi, Nov 11 2014

a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3). - Vincenzo Librandi, Nov 11 2014

Mathematica

40 Range[40] - 21 (* Alonso del Arte, Nov 10 2014 *)
CoefficientList[Series[(19 + 21 x) / (1 - x)^2, {x, 0, 50}], x] (* Vincenzo Librandi, Nov 11 2014 *)

Prog

(Python)  for n in range(1, 101): print(40*n-21, end=", ")
(Magma) [40*n-21: n in [1..60]]; // Vincenzo Librandi, Nov 11 2014
(PARI) a(n)=40*n-21 \\ Charles R Greathouse IV, May 23 2019

Crossrefs

Cf. A017377 (10n+9), A142190.

Sequence in context: A042619 A141887 A141773 * A031375 A146351 A139920

Adjacent sequences: A250021 A250022 A250023 * A250025 A250026 A250027

Keyword

nonn,easy

Author

Karl V. Keller, Jr., Nov 10 2014

Status

approved